Question

Compute the following volume and surface area.

Answer 1

The surface area of rectangular solid is 208 square centimeter

The volume of rectangular solid is 192 cubic centimeter

Solution:

Given that rectangular solid has sides of 4 cm, 6 cm, and 8 cm

To find: surface area and volume of rectangular solid

Length = l =  4 cm

Width = w = 6 cm

Height = h = 8 cm

The formula to find the surface area of a rectangular prism is:

Surface Area = 2wl + 2lh + 2hw

where w is the width, the l is the length, and the h is the height.

$\text {surface area }=2(4 \times 6)+2(4 \times 8)+2(8 \times 6)\\\\\text {surface area } = 2(24) + 2(32) + 2(48)\\\\\text {surface area } = 48 + 64 + 96 = 208$

Thus the surface area of rectangular solid is 208 square centimeter

The formula for volume of rectangular solid is:

$Volume = Length \times Height \times Width$

$volume = 4 \times 6 \times 8 = 24 \times 8 = 192$

Thus the volume of rectangular solid is 192 cubic centimeter