Mathematics
The following figure shows a solid of uniform cross-section. Find the volume of the solid. All measurements are in centimetres. Assume that all angles in the figure are right angles.
Mensuration
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Answer
The solid can be divided into two cuboids.
Dimensions of cuboid 1:
Length(l1) = 9 cm Breadth(b1) = 4 cm Height(h1) = 3 cm
Dimension of cuboid 2:
Length(l2) = 6 cm Breadth(b2) = 4 cm Height(h2) = 3 cm
Volume of solid = V1 + V2
= l1b1h1 + l2b2h2
= 9 x 4 x 3 + 6 x 4 x 3 cm3
= 108 + 72 cm3
= 180 cm3
Hence, the volume of the solid is 180 cm3.
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