Question

Calculate the volume of the composite solid.

A.) 175.1

B.) 191.1

C.) 255.1

D.) 355.1

Answer 1

Volume of cube = b x h x w = 7 x 6 x 3.55 = 149.1 cm^3
Volume of rectangular based pyramid = 1/3 (b x h x w) = 1/3 x 7 x 6 x 3 = 42cm^3

Total volume = 149.1+42 = 191.1cm^3
B

Answer 2

B.) 191.10

Explanation:

The given figure has two figures.

1. A cuboid with dimensions 7 cm, 6 cm and 3.55 cm.

2. A pyramid with rectangular base and dimensions 7 cm, 6 cm and 3 cm.

Now we will find the volumes of both the figures, and add them up to get the final volume of complete figure.

The volume of cuboid =
`length* base* height`

=>
`7*6*3.55=149.10`cubic cm.

And volume of rectangular pyramid =
`(1)/(3) (width* base* height)`

=
`(1)/(3)(3*7*6)` = 42 cubic cm

So, the total volume of the figure =
`149.10+42=191.10` cubic cm.

Therefore, the answer is option B.