Surface Area and Volume of Solids

This video tutorial explains how to calculate the surface area of a square pyramid by finding the area of its base and triangular sides. It also covers the volume and surface area of a cube, demonstrating how to determine the edge length from the volume and calculate the surface area using the area of one face.

What is the shape of the base of a square pyramid?

• Rectangle

• Square

• Triangle

• Circle

How do you calculate the area of a triangle?

• Base minus height

• Base plus height

• Base times height divided by two

• Base times height

What is the total surface area of the square pyramid calculated in the lesson?

• 350 square centimeters

• 250 square centimeters

• 200 square centimeters

• 300 square centimeters

Which of the following is NOT a step in calculating the surface area of a square pyramid?

• Dividing the total area by two

• Multiplying the area of the triangle by four

• Calculating the area of one triangle

• Calculating the area of the base

What is the volume of the cube given in the lesson?

• 150 cubic centimeters

• 200 cubic centimeters

• 100 cubic centimeters

• 125 cubic centimeters

If the volume of a cube is 125 cubic centimeters, what is the length of its edge?

• 4 centimeters

• 5 centimeters

• 6 centimeters

• 7 centimeters

What is the first step in solving for the edge length of a cube given its volume?

• Divide the volume by three

• Guess and check

• Subtract the volume from 100

• Multiply the volume by three

How many faces does a cube have?

• 8

• 6

• 5

• 4

What is the formula to calculate the surface area of a cube?

• 4 times the area of one face

• 5 times the area of one face

• 6 times the area of one face

• 7 times the area of one face

What is the surface area of a cube with an edge length of 5 centimeters?

• 175 square centimeters

• 100 square centimeters

• 125 square centimeters

• 150 square centimeters