7th Surface Area and Volume 2025

Ezekiel ordered several posters for the student council’s Red Ribbon week. The posters were shipped in a cylindrical container. The dimensions of the container are shown in the diagram. Which measurement is closest to the total surface area of the container in square inches?

• A) 2,111.15 in.²

• B) 2,513.27 in.²

• C) 336 in.²

• D) 8,444.60 in.²

Which of the following shows how the surface area can be calculated for the cylinder above?

• 6.25π + 6.25π + 35π = 47.5π

• 25π + 25π + 35π = 85π

• 6.25π + 6.25π + 43.75π = 56.25π

• 5π + 5π + 43.75π = 53.75π

Derrick has a white cylindrical storage box that he would like to decorate with patterned paper. The radius of the box is 6.5 in. and the height is 10 in. The cylinder's net is shown. How much paper will Derrick need to cover the entire box? Use π = 3.14.

• A) 673.53 in²

• B) 1,326.65 in²

• C) 2,918.63 in²

• D) 540.87 in²

Find the volume of the rectangular prism.

• A) V = 5632 in³

• B) V = 2816 in³

• C) V = 7744 in³

• D) V = 480in³

Tags

CCSS.7.G.B.6

Find the volume of the triangular prism.

• V = 127.5 m³

• V = 63.75 m³

• V = 255 m³

• V = 24.5 m³

Tags

CCSS.7.G.B.6

Rodolfo wants to determine the volume of a piece of chocolate cake. He takes some measurements and determines that the height of the cake is 7 cm and the area of the base of the cake is 40 cm². What is the volume of the piece of cake?

• V = 127.5 cm³

• V = 63.75 cm³

• V = 280 cm³

• V = 24.5 cm³

Tags

CCSS.7.G.B.6

The cylinder has a base area of 4π cm² and a height of 5 cm. What is the volume of the cylinder?

• 9π cm³

• 20π cm³

• 144π cm³

• 28π cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which of the following shapes does NOT use the formula V = B · h, where B is the area of the base, to calculate the volume?

• A) Cylinder

• B) Rectangular Prism

• C) Pyramid

• D) Triangular Prism

Tags

CCSS.7.G.B.6

Julissa is planning on wrapping a present in a shoe box. The shoe box has a length of 14 in, a width of 10 in, and a height of 5 in. What is the minimum amount of wrapping paper needed to cover the box?

• 520 in²

• 280 in²

• 420 in²

• 560 in²

Tags

CCSS.7.G.B.6

Krubell wants to make a new pencil case for the upcoming school year. He will use a circular cylinder template with a radius of 3 cm and a height of 22 cm. How much fabric will Krubell need to make his pencil case? Use π = 3.14.

• 414.48 cm²

• 442.74 cm²

• 471 cm²

• 621.72 cm²