Volume and Surface Area of Prisms

The video tutorial on Theox Benny Channel guides students through calculating the volume and surface area of a cereal box shaped as a right prism. It explains how to find the volume by multiplying the given dimensions and how to calculate the total surface area by considering the areas of all six faces. The tutorial also covers how to determine the volume of smaller boxes that can be filled from a larger box and suggests possible dimensions for these smaller boxes. The video concludes with contact information for joining online classes.

What is the formula used to calculate the volume of a rectangular prism?

• Length + Width + Height

• Length x Width x Height

• 2 x (Length + Width + Height)

• Length x Width

If a cereal box has dimensions 25 cm x 8 cm x 36 cm, what is its volume in cubic centimeters?

• 8,200 cm³

• 6,200 cm³

• 5,200 cm³

• 7,200 cm³

What is the importance of ensuring the units are consistent when calculating volume?

• To ensure the result is accurate

• To simplify the formula

• To make the calculation easier

• To avoid using a calculator

How many faces does a rectangular prism have?

• 4

• 5

• 6

• 8

What is the total surface area of a cereal box with dimensions 25 cm x 8 cm x 36 cm?

• 2,776 cm²

• 2,876 cm²

• 2,676 cm²

• 2,576 cm²

Why is it necessary to double the calculated area of three faces when finding the total surface area of a rectangular prism?

• To account for measurement errors

• To simplify the calculation

• To ensure the units are correct

• Because the prism has six faces

If the volume of a large cereal box is 7,200 cm³, what is the volume of one smaller box if the large box fills six smaller boxes?

• 1,000 cm³

• 1,200 cm³

• 1,500 cm³

• 1,800 cm³

Given a fixed height of 20 cm for a smaller box, what is one possible pair of dimensions for the base if the volume is 1,200 cm³?

• 3 cm x 30 cm

• 4 cm x 20 cm

• 5 cm x 15 cm

• 6 cm x 10 cm

If the height of a smaller box is 20 cm, what should be the product of the length and width to maintain a volume of 1,200 cm³?

• 60

• 40

• 70

• 50

Which of the following is NOT a valid pair of dimensions for the base of a smaller box with a height of 20 cm and a volume of 1,200 cm³?

• 6 cm x 10 cm

• 5 cm x 12 cm

• 4 cm x 15 cm

• 3 cm x 20 cm