Question

Найдите объем усеченной пирамиды,площади оснований которой 16 см² и 4 см²,а высота равна 3 см?

Answer 1

Объём усеченной пирамиды находится: V=1/3*H*(S1+√S1*S2+S2)
V=1/3*6(16+√16*4+4)=2(16+√64+4)=2(16+8+4)=2*28+56
Ответ: V=56 см^2

Answer 2

Calculating the Volume of a Truncated Pyramid

To calculate the volume of a truncated pyramid, we can use the formula:

V = (1/3) * h * (A + a + √(A * a))

Where: - V = Volume of the truncated pyramid - h = Height of the truncated pyramid - A = Area of the larger base - a = Area of the smaller base

Given: - A = 16 cm² - a = 4 cm² - h = 3 cm

Using the given values, we can calculate the volume of the truncated pyramid.

Calculation

Substitute the given values into the formula:

V = (1/3) * 3 * (16 + 4 + √(16 * 4))

V = (1/3) * 3 * (20 + √(64))

V = (1/3) * 3 * (20 + 8)

V = (1/3) * 3 * 28

V = 28 cm³

Conclusion

The volume of the truncated pyramid is 28 cm³.