Volume and Area of Prisms

The video tutorial explains how to calculate the volume of a right triangular prism. It begins by finding the area of the triangular base using the formula: base times height divided by two. Then, it multiplies the area of the base by the height of the prism to find the volume. The example provided uses a base length of 12 cm, a base height of 5 cm, and a prism height of 10 cm, resulting in a volume of 300 cubic centimeters.

What is the first step in finding the volume of a right triangular prism?

• Measure the height of the prism

• Calculate the perimeter of the base

• Determine the length of the prism

• Find the area of the triangular base

Which two dimensions are multiplied to find the area of the triangular base?

• Length and height

• Length and width

• Base and height

• Height and width

What must you do after multiplying the base and height to find the area of a triangle?

• Subtract the base from the height

• Divide the product by two

• Multiply by the height of the prism

• Add the base and height

What is the height of the prism in this example?

• 15 cm

• 10 cm

• 12 cm

• 5 cm

How is the height of a triangular prism determined?

• By the distance between the two parallel triangular faces

• By the width of the base

• By the area of the base

• By the length of the base

What is the area of the triangular base if the base is 12 and the height is 5?

• 120

• 30

• 15

• 60

What is the final step in calculating the volume of the prism?

• Multiply the area of the base by the height of the prism

• Add the area of the base to the height

• Divide the area of the base by the height

• Subtract the height from the area of the base

What is the volume of the prism if the area of the base is 30 and the height is 10?

• 60 cubic cm

• 150 cubic cm

• 120 cubic cm

• 300 cubic cm

If the base of the triangle is doubled, what happens to the area of the base?

• It triples

• It doubles

• It halves

• It remains the same

What is the formula for the area of a triangle?

• Base times height

• Base times height divided by two

• Base plus height

• Base minus height