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Where can I find the volume and cross section of this shape?

Where can I find the volume and cross section of this shape?-example-1
User Nphx
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1 Answer

26 votes
26 votes

The first step is to subject the solid into two parts. We have

cuboid at the base and triangular prism at the top. Thus,

Volume = volume of cuboid + volume of triangular prism

The formula for calculating the volume of a cuboid is expressed as

V = length x width x height

From the diagram,

width = 9

height = 8

length = 12

Thus,

V = 12 x 9 x 8 = 864 cm^3

The formula for calculating the volume of a triangular base prism is expressed as

V = base area x height

base area = area of triangle = 1/2 x base x height

For the triangle,

base = 9

height = 15 - 8 = 7

Area of triangle = 1/2 x 9 x 7 = 31.5

Height of prism = 12

Volume of prism = 31.5 x 12 = 378 cm^2

Volume of shape = 864 + 378 = 1242 cm^3

User Atharva
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