Question

A metallic sheet of rectangular shape with dimensions 40 cm by 30 cm. From each one of its corners a square of 4 cm is cut off. An open box is made of the remaining sheet. Find the(A) volume of the box formed(B) cost of painting its lateral surface at the rate of rupees 8 per cm square

Answer 1

say the colour of the avode pic

Answer 2

Answer and explanation:

Given : A metallic sheet of rectangular shape with dimensions 40 cm by 30 cm. From each one of its corners a square of 4 cm is cut off. An open box is made of the remaining sheet.

To find :

(A) volume of the box formed

(B) cost of painting its lateral surface at the rate of rupees 8 per cm square

Solution :

A metallic sheet of rectangular shape with dimensions 40 cm by 30 cm.

From each one of its corners a square of 4 cm is cut off.

After cutting all corner o metallic sheet and form box by bending

Length l=40-4-4=32 cm

Breath b=30-4-4=22 cm

Height h=4 cm.

A) The volume of box is

$V=l\times b\times h$

$V=32\times 22\times 4$

$V=2816\ cm^3$

B) The lateral surface area of box is

$LSA=(2\times22\times 4)+(2\times 32\times 4)+(32\times 22)$

$LSA=1136\ cm^2$

The cost of painting is given by,

$C=Rs.\frac{1136}{8}$

$C=Rs.142$