Question

A triangular prism has base length 10 cm, base height 8 cm and height 12 cm. Find the volume in cubic millimetres of the new prism formed by halving these dimensions.?

Answer 1

As it is a triangular prism

So, volume of triangular prism = area of base x height

Area of base = area of traingle = 1/2 x base x base height

We will directly find the volume of new triangular prism formed by halving the dimensions

Area of base triangle = 1/2 x (5) x (4)

{ As new base length = 5cm and new base height = 4cm}

Area of base triangle = 10cm2

Volume of triangular prism = area x height

New height becomes 12/2 = 6cm

V = 10 x 6 = 60cm3

We know that , 1cm = 10 mm

1 cm​​​​​3  = 1000 mm​​​​​3

Hence, 60cm3 = 60,000 mm 3 ----- Answer

Hence, volume of new triangular prism is 60,000 mm​​​​​3

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