SURFACE AREA AND VOLUME OF CUBE WORKSHEET

1)  Calculate the volume of the cube if its surface is 150 cm².                 Solution

2)  The cube has a surface of 600 cm². What is its volume?

Solution

3)  We make a box in the shape of a cube with an edge of 12 cm. how many cm² of sheet metal do we need to create a box if we do not make the lid?             Solution

4)  If we reduce the length of the cube edge by 30%, this reduced cube has an area of 1176 cm². Specify the edge length and volume of the original cube.

Solution

5)  Three cubes are joined end to end forming a cuboid. If side of a cube is 2 cm, find the dimensions of the cuboid thus obtained.               Solution

6)  Find the lateral surface area of a cube, if its diagonal is √6 cm.                Solution

7)  Three cubes of metal whose edges are in the ratio 3 : 4 : 5 are melted down into a single cube whose diagonal is 12√3 cm. find the edges of the three cubes.

Solution

8)  Volume of a cube is 5832 m³. Find the cost of painting its total surface area at the rate of $3.50 per m².

Solution

9) The cube has a surface area of 216 dm². Calculate:

a)   The area of one wall,

b)   Edge length,

c)   Cube volume.                  Solution

Answer Key

Problems on finding length of diagonal

1)  Find the value of x.

 Solution

2)  Find the lateral surface area of a cube, if its diagonal is √6 cm.                     Solution

3)  The side length of a cube is 5 meters. What is the length of its diagonal across one of the faces?

 Solution

4)  Find the length of the face diagonal of a cube when the side measures 9 units. Use the diagonal face formula of a cube.                 Solution

Answer key