Volume and Surface Area Problems

The video tutorial reviews a quiz on calculating volumes and surface areas of geometric shapes. It covers finding the volume of a cube, determining how many cubes fit into a rectangular prism, calculating the volume of a refrigerator, finding the surface area of a jewelry box, and calculating the volume of steps made of bricks and concrete. Each problem is solved step-by-step, demonstrating the application of geometric formulas.

What is the formula to calculate the volume of a cube?

• 2 x (Length + Width)

• Length x Width x Height

• Base x Height

• Side x Side x Side

If each side of a cube is 3/4 cm, what is its volume?

• 9/16 cubic centimeters

• 27/64 cubic centimeters

• 27/8 cubic centimeters

• 64/27 cubic centimeters

How do you find the volume of a right rectangular prism?

• 2 x (Length + Width)

• Side x Side x Side

• Base x Height

• Length x Width x Height

What is the volume of a right rectangular prism with dimensions 27/4, 3/2, and 3?

• 243 cubic units

• 81/4 cubic units

• 243/8 cubic units

• 27 cubic units

How many cubes with a volume of 27/64 cubic centimeters can fit into a prism with a volume of 243/8 cubic units?

• 81

• 72

• 54

• 64

What is the volume of a refrigerator with dimensions 3 ft, 2.8 ft, and 6 ft?

• 52.8 cubic feet

• 48 cubic feet

• 50.4 cubic feet

• 54 cubic feet

How do you calculate the surface area of the sides of a right rectangular prism?

• Base x Height

• 2 x (Length + Width)

• Length x Width x Height

• 2 x (Length x Width + Width x Height + Height x Length)

What is the surface area of the sides of a jewelry box with dimensions 10 in, 8 in, and 6.5 in, covered with purple paper?

• 220 square inches

• 234 square inches

• 200 square inches

• 250 square inches

What is the volume of the bottom level of steps made of bricks with dimensions 4 ft, 0.75 ft, and 0.5 ft?

• 9 cubic feet

• 8 cubic feet

• 7 cubic feet

• 10 cubic feet

What is the total volume of bricks and concrete used to build the steps?

• 18 cubic feet

• 22.5 cubic feet

• 20 cubic feet

• 25 cubic feet