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.
[tex]\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[/tex]
Thus the surface area of rectangular solid is 208 square centimeter
The formula for volume of rectangular solid is:
[tex]Volume = Length \times Height \times Width[/tex]
[tex]volume = 4 \times 6 \times 8 = 24 \times 8 = 192[/tex]
Thus the volume of rectangular solid is 192 cubic centimeter
