This handy Math in Focus Grade 6 Workbook Answer Key Chapter 12 Surface Area and Volume of Solids detailed solutions for the textbook questions.

## Math in Focus Grade 6 Course 1 B Chapter 12 Answer Key Surface Area and Volume of Solids

### Math in Focus Grade 6 Chapter 12 Quick Check Answer Key

**Name each, prism. In each prism identify a base, a face, an edge, and a vertex.**

Question 1.

Answer:

It is a Rectangular prism.

It has 2 bases, 6 faces, 12 edges and 8 vertices.

Question 2.

Answer:

It is a triangular prism.

It has 2 bases, 5 faces, 9 edges and 6 vertices.

Question 3.

Answer:

It is a square prism.

It has 2 bases, 6 faces, 12 edges and 8 vertices.

**Find the area of each figure.**

Question 4.

Area = •

= cm^{2}

Answer:

The given rectangle is 4cm wide and 9cm long.

The formula for finding the area of rectangle is length×breadth.

The area for the given rectangle is 4×9=36 square centimetre.

Question 5.

Area = \(\frac{1}{2}\) • •

= m^{2}

Answer:

The given trinagle measures 12m wide and 10m long.

The formula to find the area of the given triangle is \(\frac{1}{2}\)×base×height

Therefore, the area of the given triangle will be \(\frac{1}{2}\)×12×10 = 60 square metre.

Question 6.

Area = \(\frac{1}{2}\) • • ( + )

= \(\frac{1}{2}\) • •

= ft^{2}

Answer:

The given quadrilateral has two sides of 10 ft and 7 ft with 5ft base.

Area of the trapezium = \(\frac{1}{2}\) × height × (sum of parallel sides)

The area will be \(\frac{1}{2}\)×5×(10+7) = \(\frac{1}{2}\)×5×12

Therefore, the area will be 5×6=30 square ft.

Question 7.

Area = \(\frac{1}{2}\) • • ( + )

= \(\frac{1}{2}\) • •

= in.^{2}

Answer:

The formula to find the area of trapezium = \(\frac{1}{2}\) × height × (sum of parallel sides)

Area = \(\frac{1}{2}\) × 6.5 × (10+6)

= \(\frac{1}{2}\) × 6.5 × 16

= 6.5×8

= 52 square in.

**Find the volume of each solid.**

Question 8.

Volume = • •

= in.^{3}

Answer:

Volume of the cube = length×width×height

The given cube measures 8 inches in length.

The volume of the given cube wil be 8×8×8=64 cubic.inches

Question 9.

Volume = • •

= in.^{3}

Answer:

The given cuboid has length of 11 in, width of 5 in and height of 6 in.

Volume of the cuboid = length×width×height

The volume of the given cuboid is 11×5×6=330 cubic. inches.

Question 10.

Volume = • •

= ft^{3}

Answer:

The given cube measures 12 inches in length.

Volume of the cube = length×width×height

The volume of the given cube wil be 12×12×12=64 cubic.inches

Question 11.

Volume = • •

= ft^{3}

Answer:

The given cuboid measures 22ft, 13ft and 16ft.

Volume of the cuboid = length×width×height

The volume of the given cuboid is 22×13×16=4576 cubic. inches.