Volume of a combination of solids

Find the volume of the given solid.

Solution

The given solid is made up of two solids i.e. Pyramid and cuboid.

Total volume of the solid = Volume of pyramid + Volume of cuboid

Volume of pyramid =\dfrac{1}{3} Area of base \times height

Given, height = 6 in. and length of side = 4 in.

Volume of cuboid = lbh

Given, l = 4 in., b = 4 in, h = 5 in.

Total volume of the solid =\dfrac{1}{3} Area of base x height + lbh

=\dfrac{1}{3}\times4\times4\times6+ (4)\ (4)\ (5)

= 32 + 80

= 112\ \text{in}^3

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