6.G.A- Area, Surface Area, & Volume

A customer is buying two triangular, flat pieces of metal. The pieces will be cut from a rectangular sheet that has an area of 40 square feet (ft²), as shown.

Triangle A has an area of 5 ft². What is the area of triangle B?

• 10 ft²

• 15 ft²

• 25 ft²

• 30 ft²

How many square inches of material are needed to cover the shaded area of Joe's kite?

• 756 square inches

• 972 square inches

• 1,296 square inches

• 1,512 square inches

Ethan is painting two rectangular walls. The first wall is 15 feet (ft) long and 5 ft high. The second wall is 45 ft long and 15 ft high. How many times larger is the area of the second wall than the first wall?

• 3 times larger

• 6 times larger

• 9 times larger

• 27 times larger

The figure is the net of a prism, measured in inches (in.).

What is the surface area, in square inches (in²), of the prism?

• 120 in²

• 96 in²

• 54 in²

• 48 in²

The net of a rectangular prism, measured in centimeters (cm), is shown.

What is the surface area, in square centimeters (cm²), of the rectangular prism?

• 88 cm²

• 76 cm²

• 52 cm²

• 40 cm²

A polygon is created using points P(-12, 10), R(12, 10), S(16, -4), and T(-16, -4). What is the length of ST, in units?

The following statements about rectangular prisms F and G are true:

The heights of the prisms are the same.

The length of prism F is 1/6 the length of prism G.

The width of prism G is 1/3 the width of prism F.

Which statement about the volumes of the prisms is true?

• The volume of prism F is 2 times the volume of prism G.

• The volume of prism F is 18 times the volume of prism G.

• The volume of prism G is 2 times the volume of prism F.

• The volume of prism G is 18 times the volume of prism F.