Shahjahaan S.
asked • 02/10/23Math volume of frustum
The figure shows a frustum ABCDHEFG.The lower base and the upper base are squares of areas 64cm2 and 36cm2 respectively.If the height of the frustum is 6cm,find the volume of the frustum.
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1 Expert Answer
Xyz X. answered • 07/24/25
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To find the volume of the frustum, we can use the formula for the volume of a frustum of a pyramid (or cone), which is given by:
__V = (1/3)h(A1 + A2 + √(A1_A2))_*
where *h* is the height of the frustum, and *A1* and *A2* are the areas of the lower and upper bases, respectively.
However, in this case, since the bases are squares and we are dealing with a frustum of a square pyramid, the correct formula simplifies to:
__V = (1/3)h(A1 + A2 + √(A1_A2))_*
But for a square frustum, the formula can be directly applied as:
__V = (h/3)(A1 + √(A1_A2) + A2)_*
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Doug C.
No figure, but you can use the following page and the formula given to answer this question: cuemath.com/measurement/volume-of-frustum/02/10/23