Question

The deminsions of a rectangler prism are 5cm, 6cm, and Xcm. Its surface area is 148 cm2. Find the other deminsion.​

Answer 1

Answer:

The other dimension is x=4 cm

Step-by-step explanation:

Surface Area of a Rectangular Prism

Given a rectangular prism of dimension x, y, and z. Its surface area is calculated with the formula:

A = 2(xy + yz + xz)

We are given the dimensions y=5 cm and z=6 cm. We also have A=148 cm2. Substituting:

148 = 2(x*5 + 5*6 + x*6)

Dividing by 2:

74 = x*5 + 5*6 + x*6

Operating:

74 = 5x + 30 + 6x

Simplifying:

74 = 11x + 30

Subtracting 30:

44 = 11x

Dividing by 11:

x = 4 cm

The other dimension is x=4 cm