Find the volume of a frustum of a right pyramid whose lower base is a square with a side of 5 in.?

Answer 1

To calculate the volume of the frustum, you would first calculate the volume of the entire pyramid, if it were intact. Then calculate the volume of the missing portion, using the top of the frustum as the base of this "virtual pyramid." Subtract this volume from the whole volume, and there is the volume of the frustum.

However, here is what you would need to know to do this.

WHOLE PYRAMID
Base of the frustum
Angle of the side

MISSING VIRTUAL PYRAMID
Top of the frustum (base of the virtual pyramid) or height of the frustum.

All you have so far is the size of the base. This is not enough to make the calculation.

Answer 2

B) 196 cu in i'm somewhat uncertain that i'm utilising the attitude you're meant to be working in direction of, yet right here is how I did it: A frustrum of a pyramid could be defined as an entire pyramid, minus a smaller pyramid taken off the ideal. So if we are able to calculate the volumes of those 2 pyramids, their difference is the respond. to try this, we would desire to parent the peak of the completed difficulty, alongside with the area of the pyramid it incredibly is "taken off the ideal" and is not there. to try this, we use the certainty that the ratio of the heights of the bigger and smaller pyramids to the sizes of their bases is a persevering with: (h-12)/3 = h/5 5h - 60 = 3h 2h = 60 h = 30 So the bigger pyramid has a height of 30 in. and a base with components of 5 in. The smaller pyramid has a height of (30-12)=18 in. and a base with components of three in. the quantity of the frustrum is the version of the volumes of those 2 pyramids: 30 * 5^2 / 3 - 18 * 3^2 / 3 = 750/3 - 162/3 = 250 - fifty 4 = 196 cubic inches.