Question

The cross section of a piece of metal of length 4 m is shown. Find the volume of the cross section.

• A. 5340 $c{m}^3$
• B. 534 $c{m}^3$
• C. 53400 $c{m}^3$
• D. None of these

Answer 1

The correct option is C

53400 $c{m}^3$

Area of the cross sections is - area of the rectangle ABEF + area of the triangle BCD.

= (12 x 10 ) + $\frac{1}{2}$ x (16 - 10)(12 - 7.5)

= 120 + $\frac{1}{2}$ x (6 x 4.5)

= 120 + 13.5

= 133.5 $c{m}^2$

Volume of cross section = area of cross section x length

= 133.5 x 400

= 53400 $c{m}^3$