Pre algebra

A diagonal of a cube measures 15 cm and the length of an edge of the cube is StartRoot 75 EndRoot cm. What is the length of the diagonal of a face of the cube? Round to the nearest tenth.

12.2 cm

The length of Side C D is 11 inches and the length of Side C F is 11 StartRoot 3 EndRoot inches. What is the length of Side D F? Round to the nearest tenth.

15.6 inches

A diagonal of a cube measures 30 inches. The diagonal of a face measures StartRoot 600 EndRoot inches. In inches, what is the length of an edge of the cube? Round the answer to the nearest tenth.

17.3

What is the length of a diagonal of a cube with a side length of 3 cm?

27 cm

What is the length of Side B C given that Side C G is 2.5 inches and Side G B is 2.5 StartRoot 3 EndRoot inches? Round to the nearest tenth.

3.5 inches

Which is a right triangle formed using a diagonal through the interior of the cube?

DGH

Which triangle has hypotenuse Side C H?

GCH

What is the length of a diagonal of a cube with a side length of 3 cm?

StartRoot 27 EndRoot cm

Which triangle has hypotenuse Side G F?

triangle EFG

Which triangle has hypotenuse Side B F?

BFG

Hilda plans to display in a clear cube the needle Betsy Ross used to sew the first American flag. The needle will fit exactly as the diagonal of the cube. If the side length of the clear cube is StartRoot 3 EndRoot inches, and the diagonal of a face of the cube is StartRoot 6 EndRoot inches, what is the length of the needle?

3 inches

A diagonal of a cube measures StartRoot 150 EndRoot cm. The diagonal of a face measures 10 cm. What is the length, in centimeters, of an edge of the cube? Round the answer to the nearest tenth.

7.1 cm

Segment Side A E is 7 inches and Side A H is 7 StartRoot 3 EndRoot inches. What is the length of Side E H? Round to the nearest tenth.

9.9 inches

Which is a right triangle formed using a diagonal through the interior of the cube?

ABE

Which is a diagonal through the interior of the cube?

BG

Which is a diagonal through the interior of the cube?

CF

Which triangle has hypotenuse Side A E?

triangle HAE