Volume and Total Surface Area of a Composite Solids

Question 1

What is a composite solid

Answer 1

It is a solid that is made up cubes and cuboids put together

Question 2

How many cubes of length 10 cm does this solid have?

Answer 2

It has 3

Question 3

What is the volume of 1 such cube?

Answer 3

10³ = 1 000 cm³

Question 4

What is the volume of the solid?

Answer 4

Volume = 3 * 1 000 cm³

= 3 000 cm³

Question 5

What is the front view like?

Answer 5

Question 6

What is the back view like?

Answer 6

Question 7

What is the top view like?

Answer 7

Question 8

What is the side 1 view like?

Answer 8

Question 9

What is the side 2 view like?

Answer 9

Question 10

What is the area of 1 square?

Answer 10

10² = 100 cm²

Question 11

What many squares of length 10 are there in the solid?

Answer 11

You add up all the square in the 6 views

3 + 3 + 2 + 2 + 2 + 2 = 14

Question 12

What is the total surface area of the solid?

Answer 12

Multiply the number of squares by the area of 1 square

14 * 100 = 1400 cm²

Question 13

What is the difference in the 2 solids

Answer 13

The are identical except that the bottom has a part of it removed

Question 14

What is the best way to find the volume of the bottom solid?

Answer 14

Find the volume of whole solid and the part that is removed. Then find the difference in volume.

Question 15

What is the volume of this solid?

Answer 15

Volume = 10 * 20 * 30

= 6 000 cm³

Question 16

What is the volume of the part of the solid that is removed?

Answer 16

Volume = 5³

= 125 cm³

Question 17

What is the volume of the solid?

Answer 17

Volume = 6 000 cm³ - 125 cm³

= 5875 cm³