cat123ha
27.02.2020 •
Mathematics
A rectangle that is twice as long as it is wide forms the base of a rectangular pyramid that is 60cm high. If the volume of the pyramid is 4000 cm cubed, what are the dimensions of the rectangle?
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Ответ:
10 * 20 cm.
Step-by-step explanation:
Let the width of the base = x, then it's length is 2x cm and the area = 2x^2 cm^2.
Volume = 1/3 * height * area of the base
4000 = 1/3 * 60 * 2x^2
2x^2 = 4000 / (1/3 * 60)
2x^2 = 4000 / 20 = 200
x^2 = 200/2 = 100 cm.
x = 10 cm.
So the dimension of the rectangle = 10 * 20 cm.
Ответ:
3
Step-by-step explanation: