Part A - Since the two prisms have the same base shape, the ratio of their surface areas will be equal to the ratio of their heights. Therefore, the ratio of their surface areas is 4:10 which simplifies to 2:5.
Part B - The ratio of the volumes of two similar prisms is equal to the cube of the ratio of their corresponding side lengths. Since the heights of the prisms are 4cm and 10cm, and they have the same base shape, the ratio of their corresponding side lengths is 4:10 which simplifies to 2:5. Therefore, the ratio of their volumes is 2^3 : 5^3 which simplifies to 8:125.
1. Part A-Two similar prisms have heights of 4cm, and 10cm. What is the ratio of their surface areas?
2:5
4:25
8:125
16:625
Part B- What is the ratio of the volumes of the prisms in the previous problem?
2:5
4:25
8:125
16:625
3 answers
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1 answer