To find the volume of the composite space figure, we first need to find the volume of the rectangular prism and the volume of the rectangular pyramid, and then add them together.
Volume of rectangular prism = length x width x height
Volume of rectangular prism = 14 in x 4 in x 5 in
Volume of rectangular prism = 280 in^3
Volume of rectangular pyramid = (1/3) x base area x height
The base of the pyramid is the same as the base of the prism, so the base area is 14 in x 4 in = 56 in^2
Volume of rectangular pyramid = (1/3) x 56 in^2 x 10 in
Volume of rectangular pyramid = 186.67 in^3
Total volume of the composite space figure = volume of prism + volume of pyramid
Total volume = 280 in^3 + 186.67 in^3
Total volume = 466.67 in^3
Therefore, the correct answer is 466.67 in^3.
A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 14 in, a width of 4 in and a height of 5 in. The pyramid has a height of 10 in. Find the volume of the composite space figure. Round your answer to the nearest hundredth. (1 point) Responses 400.01 in33 400.01 in3 387.74 in33 387.74 in3 576.23 in33 576.23 in3 466.67 in3
1 answer
1 answer