Mathematics
The adjoining figure shows a solid of uniform cross section. Find the volume of the solid. It is being given that all the measurements are in cm and each angle in the figure is a right angle.
Mensuration
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Answer
Given solid figure consists of two cuboids.
Cuboid 1:
Length (l) = 4 cm
Breadth (b) = 6 cm
Height (h) = 3 cm
Cuboid 2:
Length (l) = 4 cm
Breadth (b) = 3 cm
Height (h) = 9 cm
Calculating the volume of cuboid 1,
Volume of cuboid 1 = length × breadth × height
= 4 × 6 × 3
= 72 cm3.
Calculating the volume of cuboid 2,
Volume of cuboid 2 = length × breadth × height
= 4 × 3 × 9
= 108 cm3.
∴ Total volume = 72 + 108
= 180 cm3.
Hence, volume of solid = 180 cm3.
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