Surface Area and Volume of Solids

This video tutorial covers the calculation of the volume and surface area of cubes and rectangular prisms. It explains how to find the volume of cubes with different edge lengths, including fractional values, and how to determine edge length from a given volume. The tutorial also discusses the concept of nets for cubes and prisms, identifying polyhedrons, and correcting errors in surface area calculations.

What is the volume of a cube with an edge length of 8 inches?

• 256 cubic inches

• 1024 cubic inches

• 64 cubic inches

• 512 cubic inches

If a cube has a volume of 8 cubic feet, what is its edge length?

• 1 foot

• 2 feet

• 3 feet

• 4 feet

What three-dimensional shape can be formed from a net with six equal squares?

• Rectangular Prism

• Cylinder

• Cube

• Pyramid

How do you calculate the surface area of a cube with a side length of 61 cm?

• 61 x 61 x 61

• 6 x 61

• 6 x 61 x 61

• 61 x 61

What is the expression for the volume of a cube with edge length x?

• x x x

• x^2

• x + x + x

• x^3

What is wrong with a net that leaves a gap when folded into a rectangular prism?

• The net is missing a face.

• The net is too large.

• The net has too many faces.

• The net is too small.

Which of the following is not a polyhedron?

• Sphere

• Cube

• Pyramid

• Rectangular Prism

Why is figure A not considered a polyhedron?

• It has more than six faces.

• It has curved surfaces.

• It is a three-dimensional shape.

• It is made of polygons.

What mistake did Elena make in calculating the surface area of a rectangular prism?

• She used the wrong formula.

• She forgot to calculate the top face.

• She calculated the volume instead.

• She mixed units of measurement.

What is the correct total surface area of a rectangular prism that is 1 foot by 1 foot by 2 feet?

• 8 square feet

• 4 square feet

• 10 square feet

• 6 square feet