Question

Calculate the volume of the composite solid.

Answer 1

Answer:

B.) 191.10

Step-by-step 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 = $length\times base\times height$

=> $7\times6\times3.55=149.10$cubic cm.

And volume of rectangular pyramid = $\frac{1}{3} (width\times base\times height)$

=$\frac{1}{3}(3\times7\times6)$ = 42 cubic cm

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

Therefore, the answer is option B.

Answer 2

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