Cubes/Rectangular Prisms

CONCEPTS

Rectangular Prism Properties

• Surface Area = 6 * l * w (l = length, w = width)

• Volume = l * w * h (l = length, w = width, h = height)

PRACTICE PROBLEMS

Question 1 Given leg lengths of 4, 5, & 6 for a rectangular prism, what is the volume? What is the surface area?

-- Answer -- V = 120, SA = 148

V = l * w * h = 4 * 5 * 6 = 120

sA = 2lw + 2lh + 2wh = 2* 4 * 5 + 2 * 4 * 6 + 2 * 5 * 6 = 40 + 48 + 60 = 148

Question 2 Given a volume of 40 and leg lengths of 10 & 2. What is the 3rd leg length?

-- Answer -- 2

V = 40 = lwh = 2 * 2 * h = 40 => h = 2

ACT PRACTICE PROBLEMS