Question

Find the lateral and surface area
5in
4in
3in
4 in
The lateral area is
The surface Area is

Answer 1

To find the lateral area, we need to find the sum of the lateral faces of the given figure.

Given measurements:
Length: 5in
Width: 4in
Height: 3in

Lateral Area:
L1 = Height x Length = 3in x 5in = 15in²
L2 = Height x Width = 3in x 4in = 12in²
L3 = Height x Length = 3in x 5in = 15in²
L4 = Height x Width = 3in x 4in = 12in²

Sum of the lateral areas:
Lateral Area = L1 + L2 + L3 + L4
Lateral Area = 15in² + 12in² + 15in² + 12in²
Lateral Area = 54in²

To find the surface area, we need to add the lateral area to the area of the base.

Base Area:
Base = Length x Width = 5in x 4in = 20in²

Surface Area:
Surface Area = Lateral Area + 2 x Base Area
Surface Area = 54in² + 2 x 20in²
Surface Area = 54in² + 40in²
Surface Area = 94in²

Therefore, the lateral area is 54 square inches, and the surface area is 94 square inches.