Surface Area and Volume Problems

This video tutorial explains how to solve volume and surface area word problems using a five-step process. It covers determining the 3D object, deciding whether to calculate volume or surface area, selecting the appropriate formula, setting up the equation, and solving it with proper units. The tutorial includes examples such as calculating the surface area of a box, the volume of a water tank, the volume of sand a truck can carry, the surface area of a water slide, and the fabric needed for a bolster pillow.

What is the first step in solving volume and surface area word problems?

• Find the surface area

• Calculate the volume

• Select the correct formula

• Determine the 3D object and draw it

In Example 1, what is the surface area of a box with dimensions 18x12x10 inches?

• 1034 square inches

• 816 square inches

• 720 square inches

• 500 square inches

How is the formula modified when the box in Example 1 does not have a lid?

• Remove the height from the formula

• Add an extra length times height

• Use only one length times width

• Double the width times height

What is the formula for the volume of a cylinder?

• 2lw + 2lh + 2wh

• πr²h

• 2πr² + 2πrh

• Length times width times height

What is the volume of the cylindrical water tank in Example 2?

• 198.46 cubic meters

• 500.24 cubic meters

• 104.58 cubic meters

• 816 cubic meters

In Example 3, what is the maximum volume of sand the truck can carry?

• 500.24 cubic meters

• 816 cubic meters

• 198.46 cubic meters

• 104.58 cubic meters

What is the surface area formula for a cylinder without ends?

• 2lw + 2lh + 2wh

• 2πr² + 2πrh

• πr²h

• 2πrh

How much plastic is needed for the waterslide tube in Example 4?

• 502.4 square yards

• 720.2 square yards

• 816 square yards

• 104.58 square yards

What is the surface area of the bolster pillow in Example 5?

• 104.58 square inches

• 816 square inches

• 502.4 square inches

• 720.2 square inches

Why is the full surface area formula used for the bolster pillow in Example 5?

• The pillow is a rectangular prism

• The pillow has no ends

• The pillow is filled with fabric

• The pillow needs fabric all around and on the ends