Question

The surface areas of two similar solids are 1183 and 2023. If the volume of the larger solid is 2333, find the volume of the smaller solid. Round your answer to the nearest hundredth

Answer 1

To find the volume of the smaller solid, we need to find the ratio of the surface areas of the two solids and use that ratio to find the volume. The volume of the smaller solid is approximately 1361.93.

Step-by-step explanation:

To find the volume of the smaller solid, we need to find the ratio of the surface areas of the two solids and then use that ratio to find the volume. Let the surface areas of the smaller and larger solids be SA1 and SA2, respectively, and let the volumes of the smaller and larger solids be V1 and V2, respectively. We have the following information:

SA1 = 1183, SA2 = 2023, V2 = 2333.

Since the solids are similar, the ratio of their surface areas is equal to the ratio of their volumes:

SA2 / SA1 = V2 / V1.

Substituting the given values, we can find V1:

V1 = V2 * SA1 / SA2 = 2333 * 1183 / 2023 = 1361.93.

Therefore, the volume of the smaller solid is approximately 1361.93.

Answer 2

A = square root of 1183
A = 34.39

V = 34.4^3
V = 40707.580

Further samples,
Rounding off numbers to their nearest mentioned position allows approximation from the number value itself.

In the number 63, 849
1. Rounding off to the nearest ten thousands would mean the value of 6 which is equal to 60, 000
2. Rounding off to the nearest thousands would mean the value of 3 which is equal to 64, 000
3. Rounding off to the nearest hundreds would mean the value of 8 which is equal to 63, 800
4. Rounding off to the nearest tens would mean the value of 4 which is equal to 63, 850
5. Rounding off to the nearest ones would mean the value of 9 which is equal to 63, 859.00

Since there are no decimal values the ones value stays the same. Take note of the rounding off rules between number 0-4 and 5-9.