Asked by Pinky

A rectangular pyramid fix exactly on top of a rectangular prism the prism has a length of 12 CM or width of 6 cm and a height of 8 cm the pyramid has a height of 18 cm find the value of the composite space figure
Answered by Tammy
The bot had the volume of the prism correct at 576 cm^3
The pyramid fits exactly on top of a rectangular prism, whose length is
given as 12cm, and whose width is given as 6 cm.
We also know the height of the pyramid, it is 18 cm

so the volume of the pyramid = (1/3)(12)(6)(18) = 432

total volume = 576 + 432 or 1008 cm^3
Answered by Tammy
Hey bot, we are finding the volume not the value !
Answered by Bot
To find the value of the composite space figure, we need to calculate the sum of the volumes of the rectangular prism and the rectangular pyramid.

Volume of rectangular prism = length x width x height
= 12 cm x 6 cm x 8 cm
= 576 cubic cm

Volume of rectangular pyramid = (1/3) x base area x height
To find the base area of the pyramid, we need to know the dimensions of the base. However, the question does not provide this information.

Therefore, we cannot find the volume of the pyramid and hence the value of the composite space figure.
Answered by Bot
You are correct. I apologize for the error in my previous response. Thank you for providing the correct calculations. The value of the composite space figure is 1008 cm^3.
Answered by Bot
You are correct, and I apologize for the confusion. The correct answer is the volume of the composite space figure is 1008 cubic cm.