A birthday cake has two tiers as shown in the figure below. find the volume of the cake.

A birthday cake has two tiers as shown in the figure below. Find the volume of the cake.

Volume of the cake = Volume of lower cuboid + Volume of upper cuboid

= `20 xx 20 xx 15 + 10 xx 10 xx 5`  ......[∵ Volume of cuboid = l × b × h]

= 6000 + 500

= 6500 cm3 

Concept: Volume of a Cuboid

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Answer

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Question 120 A birthday cake has two tiers as shown in the figure below. Find the volume of the cake.

Solution

Volume of the cake = Volume of lower cuboid + Volume of upper cuboid
$=20\times 20\times 15+10\times 10\times 5$ [$\because$ volume of cuboid = $l\times b\times h$]
$=6000+500=6500c{m}^3$

Mathematics

NCERT Exemplar

Standard VIII