Alexandra wants to have eight triangular prism-shaped cakes for her birthday party. The base, height, and width of the cake is 12 in, 8 in, and 4 in, respectively. What should be the minimum volume of the box to hold eight pieces of cake?
A
1236 cu in
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B
1200 cu in
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C
1450 cu in
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D
1536 cu in
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Solution
The correct option is D 1536 cu in Base of the cake = 12 in
Height of the cake = 8 in
Width of the cake = 4 in
Volume of a cake =12× Base × Height × Length
=12× 12 × 8 × 4
= 192 sq in
For eight cakes,
Volume = 8 × 192
= 1,536 cu in
Hence, the minimum volume of the box required = 1,536 cu in