Question

.Which cube is a unit cube?

a a cube that is 9 inches long, 9 inches wide, and 9 inches high

b a cube that is 3 meters long, 3 meters wide, and 3 meters high

c a cube that is 11 centimeters long, 11 centimeters tall, and 11 centimeters high

d a cube that is 1 yard long, 1 yard wide, and 1 yard high

.Which situation would require determining volume?

a Jordan wants to know how long his bed is.

b Jessica wants to know how much wrapping paper she needs to cover a box.

c Amelie wants to know how far it is around the edge of her table.

d Eric wants to know how much sand is in his little brother's sandbox.

.Each cube in this solid figure is a unit cube What is the volume of this solid figure?

Answer 1

Part 1 : Option d is correct.

Part 2 : Option d is correct.

Part 3 : 18 cubic units.

Explanation:

Part 1 :

Option d is correct.

A cube that has 1-yard length, 1-yard width, and 1-yard height is a unit cube as its volume is unity.

Part 2 :

Option d is correct.

If Eric wants to know how much sand is in his little brother's sandbox then he would require determining the volume of the sandbox.

Part 3 :

The front surface of the given figure has 9 total unit cube surfaces.

Now, each unit cube surface has area 1 square unit.

So, the front surface of the given figure has area 9 square units.

Now, the given figure has a thickness of two unit cube having total thickness = (1 + 1) = 2 units.

Therefore, the volume of the solid figure is = (Surface area × Thickness) = (9 × 2) = 18 cubic units. (Answer)