Volume and Surface Area Problems

The video tutorial covers a series of math problems related to geometry and algebra. It begins with calculating the surface area and volume of a cubic toy box, followed by determining possible dimensions for gift boxes with a specific volume. The tutorial then moves on to calculating the volume of a rectangular box of rice and comparing the surface area and volume of two cereal boxes. It also includes a problem on calculating the cost to paint a swimming pool and determining the volume of cement needed for a rectangular hole. Finally, it addresses solving equations to find the volume of boxes.

What is the surface area of a cube with each side measuring 2 feet?

• 32 square feet

• 8 square feet

• 16 square feet

• 24 square feet

How many cubic feet of toys can a cubic box with 2 feet sides hold?

• 4 cubic feet

• 6 cubic feet

• 8 cubic feet

• 10 cubic feet

Which set of dimensions for a box with a volume of 50 cubic centimeters requires the least material?

• 1 cm x 2 cm x 25 cm

• 1 cm x 1 cm x 50 cm

• 1 cm x 5 cm x 10 cm

• 2 cm x 5 cm x 5 cm

What is the surface area of the box with dimensions 2 cm x 5 cm x 5 cm?

• 110 cm²

• 90 cm²

• 100 cm²

• 120 cm²

What is the volume of a rectangular box with dimensions 15 1/3 inches, 7 2/3 inches, and 6 1/3 inches?

• 744 14/27 cubic inches

• 750 cubic inches

• 760 cubic inches

• 770 cubic inches

How much more cardboard is needed for the large cereal box compared to the small one?

• 80 square inches

• 90 square inches

• 100 square inches

• 110 square inches

How much more cereal can the large box hold compared to the small box?

• 110 cubic inches

• 120 cubic inches

• 100 cubic inches

• 114 cubic inches

What is the cost to paint a swimming pool that is 8 meters long, 6 meters wide, and 2 meters deep if paint costs $6 per square meter?

• $500

• $600

• $624

• $650

How much cement is needed to fill a hole that is 9 feet long, 3 feet wide, and 2 feet deep?

• 60 cubic feet

• 64 cubic feet

• 54 cubic feet

• 50 cubic feet

If the volume of box C is 33.255 cubic centimeters, what is the volume of box E if box C is 1/10th of box E?

• 334.25 cubic centimeters

• 333.55 cubic centimeters

• 333.25 cubic centimeters

• 332.55 cubic centimeters