Mathematics
A pen stand made of wood is in the shape of a cuboid with four conical depressions to hold pens. The dimensions of the cuboid are 15 cm by 10 cm by 3.5 cm. The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand.
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Answer
Given,
Length of cuboid (l) = 15 cm
Breadth of cuboid (b) = 10 cm
Height of cuboid (h) = 3.5 cm
Radius of each conical depression (r) = 0.5 cm
Depth of each conical depression (H) = 1.4 cm
From figure,
Volume of wood in stand = Volume of cuboid - 4 × Volume of each conical depression
= lbh - 4 ×
= 15 × 10 × 3.5 -
= 525 -
= 525 -
= 525 - 1.47 = 523.53 cm3.
Hence, volume of wood in entire stand = 523.53 cm3.
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