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Question
A birthday cake has two tiers as shown in the figure below. Find the volume of the cake.
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Solution
Length of tier-1 cake = 10 cm
Breadth of the tier-1 cake = 10 cm
Height of the tier-1 cake = 5 cm
∴ Volume of the tier-1 cake = 10 × 10 × 5 = 500 cm3
Now, length of the tier-2 cake = 20 cm
Breadth of the tier-2 cake = 20 cm
Height of the tier-2 cake = 15 cm
∴ Volume of the tier-2 cake = 20 × 20 × 15 = 6000 cm3
Hence, volume of the cake = (6000 + 500) cm3 = 6500 cm3
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