Unit 5 End of Unit Study Guide 2023

How could you determine the surface area of a triangular prism?

Answer explanation

To determine the surface area of a triangular prism, you would need to calculate the area of each of the three triangular faces, the area of each of the three rectangular faces, and then add them all together.

Is painting your house a real world example of surface area or volume?

• Surface Area

• Volume

Answer explanation

Painting your house is a real world example of surface area. Painting your house is an example of a two-dimensional activity, as it involves covering the walls and other surfaces with a layer of paint.

What shape is formed by folding the following net?

• Triangular Prism

• Cube

• Rectangular Prism

• Square Pyramid

• Triangular Pyramid

Answer explanation

The shape formed by folding the net is a triangular prism because it has 2 triangle bases and the lateral sides are rectangles.

What shape is formed by folding the following net?

• Triangular Prism

• Cube

• Rectangular Prism

• Square Pyramid

• Triangular Pyramid

Answer explanation

The net is a square pyramid because it has 1 square base and its lateral sides are all triangles.

What shape is formed by folding the following net?

• Triangular Prism

• Cube

• Rectangular Prism

• Square Pyramid

• Triangular Pyramid

Answer explanation

The net in question is a cube. When folded, the net will form a cube shape with six square faces.

What shape is formed by folding the following net?

• Triangular Prism

• Cube

• Rectangular Prism

• Square Pyramid

• Triangular Pyramid

Answer explanation

The net is a rectangular prism because it has two rectangular bases and its lateral sides are rectangles.

What is the VOLUME of the cube?

Answer explanation

The volume of a cube is the amount of space it occupies. It is calculated by multiplying the length of one side of the cube by itself twice. For example, if the length of one side of the cube is 5 cm, then the volume of the cube is 5 cm x 5 cm x 5 cm = 125 cm3.

Find the area of the shaded region.

Answer explanation

To find the area of the shaded region, you need to subtract the area of the unshaded region from the area of the entire figure. To do this, you need to calculate the area of the unshaded region and the area of the entire figure. Once you have these two values, you can subtract the area of the unshaded region from the area of the entire figure to get the area of the shaded region.

Find the area of the trapezoid.

Answer explanation

The area of a trapezoid is calculated by taking the average of the two parallel sides (a and b) and multiplying it by the height (h). The formula is A = (a + b) / 2 * h.

You could also treat this problem as a composte area problem and find the area of the two triangles and the rectangle that make up the shape and then add them together.

Find the area of the composite figure.

Answer explanation

To find the area of a composite figure, you must first break the figure down into its individual shapes and then calculate the area of each shape. Once you have the area of each shape, you can add them together to get the total area of the composite figure.