Question

A metallic sheet is of rectangular shape with dimensions $48\times 36m$. Form each of its corners, a square is cut off so as to make an open box. The volume the box is $x$ cu. m, when the length of the square is $8m$. The value of $x$ is

• A. $5120$
• B. $8960$
• C. $4830$
• D. $6400$

Answer 1

The correct option is A $5120$

After cutting the squares, the dimensions of the box are:
Length$=(48-8-8)m=32m$
Breadth $=(36-8-8)m=20m$
Height $=8m$
Volume of a cuboid $=l\times b\times h$
Volume of the box $=(32\times 20\times 8)m=5120m^3$