Question

Please HELP

A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 15 cm, a width of 5 cm, and a height of 7 cm. The pyramid has a height of 13 cm. Find the volume of the composite space figure.
1,500 cm3
500 cm3
2,275 cm3
850 cm3

Answer 1

ok... the base area of the pyramid and cube is identical

A = 15 x 5

does that make sense

Answer 2

what about the height?

Answer 3

just wait a bit

Answer 4

and i got A=75

Answer 5

so the total volume will be Prism + Pyramid

volume of the Prism = 15 x 5 x height prism

Volume of the Pyramid = 1/3 x 15 x 5 x height of the pyramid

Answer 6

i got 175 nd thats not any of the answers

Answer 7

that is for the prism....

now find the volume of the pyramid

Answer 8

Volume of the Pyramid = \[V = \frac{1}{3} \times 15\times 5 \times height of the pyramid\]

Answer 9

1,224.99999

Answer 10

I got 325

\[V = \frac{1}{3} \times15\times5\times13\]

Answer 11

o wait srry i multiplied by 7

Answer 12

2,275

Answer 13

thank you

Answer 14

so the total volume Prism = 175
Pyramid = 325
------
Total Volume = 500

Answer 15

o ok

Answer 16

the pyramid is \[V = \frac{15 \times5\times13}{3}\]