Question

# 1. The following measurements are taken of a box. length = 84 cm height = 40...

1. The following measurements are taken of a box.
length = 84 cm
height = 40 cm
width = 30 cm
Calculate the volume of the block in cubic meters.

2. In a reaction time experiment, three displacements were recorded: 40 cm, 50 cm, and 47 cm. Calculate the average displacement (in m).

3. 5.9 square meter equals how many square centimeters?

Solution) (1) Length , L = 84 cm

1 cm = 10^(-2) m

L = 0.84 m

Height , H = 40 cm = 0.40 m

Width , b = 30 cm = 0.30 m

Volume , V = ?

V = L×b×H

V = 0.84×0.30×0.40

V = 0.1008 m^3

V = 0.1008 cubic meters

V = 0.1 cubic meters ( approximately)

(2) Given displacements,

d1 = 40 cm

1 cm = 10^(-2) m

d1 = 40×10^(-2) m = 0.40 m

d2 = 50 cm = 0.50 m

d3 = 47 cm = 0.47 m

Average displacement , D = ?

D = (d1+d2+d3)/(3)

D = (0.40+0.50+0.47)/(3)

D = 0.4566 m

D = 0.46 m (approximately)

(3) 5.9 m^2 = ? cm^2

1 m^2 = 10^(4) cm^2

5.9 m^2 = 5.9×10^(4) cm^2

5.9 m^2 = 59,000 cm^2

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