Question

∠*ABC* is a right angle. *AB* = 8 inches,
*BC* = 13 inches, and *AD* = 3 feet. Determine the
surface area (in square inches) and volume (in cubic inches) of the
following. (Round your answers to one decimal place.)

A triangular prism is given. The prism is oriented so that the top and bottom faces are triangles. Four vertices of the prism are labeled as follows:

- The bottom left vertex of the top triangular face is labeled
*A*. - The top vertex of the top triangular face is labeled
*B*. - The bottom right vertex of the top triangular face is labeled
*C*. - The bottom left vertex of the bottom triangular face is labeled
*D*.

surface area in^{2}volume in^{3}

(b)

The base is a square. Determine the surface area (in square feet) and volume (in cubic feet) of the following. (Round your answers to one decimal place.)

120 ft

75 ft

A square pyramid is given. A dashed line that has length 75 ft extends vertically down from the vertex and meets the base at a right angle. The length of one of the bottom edges of the base is 120 ft.

surface area ft^{2}volume ft^{3}

(c)

The diameter is 4 feet 6 inches. The height is 11 feet 3 inches. Determine the surface area (in square feet) and volume (in cubic feet) of the following. (Round your answers to one decimal place.)

A cylinder is given.

surface area ft^{2}volume ft^{3}

Look at the triangular prism shown below. If you were to make a net for this polyhedron, what would be the dimensions of each face? (The triangle is a right triangle.)

3 in.

6 in.

3 in.

A triangular prism is given. The prism is oriented so that the right triangular faces are the front and back faces. Two legs of the triangular face are labeled. The left vertical leg is labeled 3 in. and the bottom horizontal leg is labeled 6 in. The edge that connects the triangle faces is labeled 3 in.

3 in. ✕ 6 in. ✕ 3

5 |

in. for each triangular face, 3

5 |

in. ✕ 3 in. for the top face, 3 in. ✕ 3 in. for the bottom face, and 3 in. ✕ 3 in. for the remaining vertical face which joins the bottom face and the top edge of the top face3 in. ✕ 6 in. ✕ 45 in. for each triangular face, 45 in. ✕ 3 in. for the top face, 6 in. ✕

6 |

in. for the bottom face, and 3 in. ✕ 3 in. for the remaining vertical face which joins the bottom face and the top edge of the top face 3 in. ✕ 6 in. ✕ 3

5 |

in. for each triangular face, 3

5 |

in. ✕ 3 in. for the top face, 6 in. ✕ 3 in. for the bottom face, and 3 in. ✕ 3 in. for the remaining vertical face which joins the bottom face and the top edge of the top face3 in. ✕ 6 in. ✕ 45 in. for each triangular face, 45 in. ✕ 3 in. for the top face, 3 in. ✕

6 |

in. for the bottom face, and 3 in. ✕ 3 in. for the remaining vertical face which joins the bottom face and the top edge of the top face3 in. ✕ 6 in. ✕ 45 in. for each triangular face, 45 in. ✕ 3 in. for the top face, 6 in. ✕ 3 in. for the bottom face, and 3 in. ✕ 3 in. for the remaining vertical face which joins the bottom face and the top edge of the top face

(b)

Look at the figure shown below. If you were to make a net for this polyhedron, what would be the exact dimensions of the "roof"?

2 in.

4 in.

6 in.

A rectangular prism and a half cylinder are given. The front and back faces of the rectangular prism are smaller than the other faces. The figures are oriented so that the rectangular face of the half cylinder is aligned with the top face of the rectangular prism. Three edges of the rectangular prism are labeled as follows.

- The left edge of the front face is labeled 2 in.
- The bottom edge of the front face is labeled 4 in.
- The bottom edge of the right face is labeled 6 in.

4 in. ✕ 3*π* in.6 in. ✕ *π*
in. 6 in. ✕ 2*π* in.4 in. ✕ 2 in.2
in. ✕ 3*π* in.

Determine whether the given information is enough to conclude

ΔABC ≌ ΔDEF.

Explain your answer.

(a) |

Yes, because the triangles satisfy AAA axiom.No, because AAA is not a congruence axiom for triangles.

(b) |

Yes, because the triangles satisfy the SSS axiom.No, because
*AC* ≠ *DF* so SSS is not
satisfied.

(c) |
Yes, because the triangles satisfy the SSA axiom.No, because SSA is not a triangle congruence theorem. |

Answer #1

Suppose water is leaking from a tank through a circular hole of
area
Ah
at its bottom. When water leaks through a hole, friction and
contraction of the stream near the hole reduce the volume of water
leaving the tank per second to
cAh
2gh
, where
c (0 < c < 1)
is an empirical constant.
A tank in the form of a right-circular cone standing on end,
vertex down, is leaking water through a circular hole in its...

Multiple Choice
Choose the best answer. Write the corresponding letter
on the blank.
1. A stairway has intermediate landings between floors.
platform
straight
winding
stringer
2. The preferred angle for a staircase is degrees.
no more than 25
a minimum of 43
between 30 and 38
approximately 45
3. The IBC specifies that the height of a riser shall inches and
that the width of a tread inches.
not be more than 6; no more than 9
not exceed 7...

Chapter 19: Stair Framing and Finish
Matching
Match terms to their definitions. Write the
corresponding letters on the blanks. Not all terms will be
used.
1. the entire stair rail assembly
a. baluster
2. railing on a
stairway intended to be grasped by the hand to serve as a support
and guard
b. balustrade
c. handrail
3. upright post supporting the handrail in a flight of
stairs
d. newel post
4. vertical member
of a stair rail, usually decorative and...

For full credit be sure to show all work and units.
1. A 20 foot ladder leans against a vertical wall. The bottom of
the ladder slides away from the wall at 2 ft/sec.
a. How fast is the top of the ladder sliding down the wall when
the top of the ladder is 12 feet from the ground?
b. Interpret the meaning of the sign.
2. The current speed record for weight loss is 487 pounds to 130
pounds...

MATH125: Unit 1 Individual Project Answer Form
Mathematical Modeling and Problem Solving
ALL questions below regarding SENDING A PACKAGE and PAINTING A
BEDROOM must be answered. Show ALL step-by-step calculations, round
all of your final answers correctly, and include the units of
measurement. Submit this modified Answer Form in the Unit 1 IP
Submissions area.
All commonly used formulas for geometric objects are really
mathematical models of the characteristics of physical objects. For
example, a basketball, because it is a...

Match terms to their definitions. Write the
corresponding letters on the blanks. Not all terms will be
used.
1. the best
appearing side of a piece of wood or the side that is exposed when
installed
a. backing
b. eased edge
2. a wall finish applied partway up the wall from the
floor
c. face
3. a building product made by compressing wood fibers into
sheet form
d. gypsum board
4. an edge of lumber
whose sharp corners have been...

Chapter 17: Wall Finish Matching Match terms to their
definitions. Write the corresponding letters on the blanks. Not all
terms will be used.
Chapter 17: Wall Finish
Matching
Match terms to their definitions. Write the
corresponding letters on the blanks. Not all terms will be
used.
1. the best
appearing side of a piece of wood or the side that is exposed when
installed
a. backing
b. eased edge
2. a wall finish applied partway up the wall from the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 16 minutes ago

asked 17 minutes ago

asked 20 minutes ago

asked 34 minutes ago

asked 57 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago