Geometry Formulas 6th Grade

Area

100

What is the area of a rectangle with length of 12cm and width of 5.6cm

67.2cm²

200

What is the area of a triangle with base of 30m and height of 24m

360m²

300

What is the area of a trapezoid with a height of 16in, and base measures 11in and 25in?

288in²

400

What is the area of a parallelogram with a height of 4in, base of 9.8in, and slant height of 6in

39.2in²

500

A triangular logo is painted on the side of a building with a base of 8ft and height of 12ft. What is the area of the logo?

48ft²

Volume

100

Find the volume of a rectangular prism with length 48in, width 19in, and 7in

6,384in³

200

Find the volume of a rectangular prism with length of 9.5in, width 6in, and height of 4.67in

about 266 or 266.19in³

300

Find the volume of a triangular prism with triangle base 8ft, triangle height 6.9ft, and rectangle height of 18ft. The slant heights are 8ft.

496.8ft³

400

A box of popcorn has a length of 8.5in, width of 4in, and height of 12.75in. How much can this box of popcorn hold?

V = 433.5in³

500

A triangular prism has volume of 140 cubic inches. The triangle base height is 10in. The height of rectangle is 4 in. What is the length of the triangle base?

7in

Surface Area

100

Find the surface area of a rectangular prism with length 48in, width 19in, and 7in

2,762in²

200

Find the surface area of a rectangular prism with length of 10m, height of 3m, and width of 8m.

268m²

300

Find the surface area of a cube with side measures of 2in

24in

400

Find the surface area of a triangular prism with triangle base of 12ft and height of 5ft. One rectangle measures 15ft by 12ft. Rectangle two measures 5ft by 15ft. The other rectangle measures 13ft by 15ft.

510ft

500

Find the surface area of a rectangular prism with length of 5.5in, width of 10in, and height 6.25in

303.75in

Miscellaneous

100

Find the perimeter of a triangle with side measures of 2in, 4in, and 7.5in

13.5in

200

A parallelogram has a height of 11.8mm and area of 151.04 square millimeters, find the BASE

12.8mm

300

Describe the difference between surface area and volume

volume is filling the inside of a 3D shape, but surface area is the area of the flat surfaces

400

A triangle has a base of 17in and area of 127.5 square inches. What is the HEIGHT

15in

500

A trapezoid has an area of 50 square inches. The bases are 3in and 7in. What is the HEIGHT

10in