Texas Go Math Grade 6 Module 16 Answer Key Area and Volume Equations

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Texas Go Math Grade 6 Module 16 Answer Key Area and Volume Equations

Texas Go Math Grade 6 Module 16 Are You Ready? Answer Key

Evaluate.

Question 1.
\(\frac{1}{2}\)(3)(5 + 7)
Answer:
Solution to this example is given below
\(\frac{1}{2}\)(3)(5 + 7) = \(\frac{1}{2}\)(3)(12) Perform operations inside parentheses first
= 1.5(12) Multiply left to right
= 18 Multiply again.
= 18 Final solution.

Question 2.
\(\frac{1}{2}\)(15)(13 + 17)
Answer:
Solution to this example is given below
\(\frac{1}{2}\)(15)(13 + 17) = \(\frac{1}{2}\)(15)(30) Perform operations inside parentheses first
= 7.5(30) Multiply left to right
= 225 Multiply again.
= 225 Final solution.

Question 3.
\(\frac{1}{2}\)(10)(9.4 + 3.6)
Answer:
Solution to this example is given below
\(\frac{1}{2}\)(10)(9.4 + 3.6) = \(\frac{1}{2}\)(10)(13) Perform operations inside parentheses first
= 5(13) Multiply left to right
= 65 Multiply again.
= 65 Final solution.

Question 4.
\(\frac{1}{2}\)(2.1)(3.5 + 5.7)
Answer:
Solution to this example is given below
\(\frac{1}{2}\)(2.1)(3.5 + 5.7) = \(\frac{1}{2}\)(2.1)(9.2) Perform operations inside parentheses first
= 1.05(9.2) Multiply left to right
= 9.66 Multiply again.
= 9.66 Final solution.

Find the area of each figure.

Question 5.
a triangle with base 6 in. and height 3 in. _____________
Answer:
Find the area of the triangle
b = 6 inches h = 3 inches
A = \(\frac{1}{2}\)bh
= \(\frac{1}{2}\)(6 inches)(3 inches) Substitute
= 9 square inches Multiply
= 9 in²

Question 6.
a square with sides of 7.6 m ______________
Answer:
s = 7.6
Write equation of area of a square:
Area = s²
Substitute values:
Area = 7.6²
Evaluate:
Area = 57.76
Area of the given square is 57.76 square meters.

Question 7.
a rectangle with length 3\(\frac{1}{4}\) ft and width 2\(\frac{1}{2}\) ft. ____________
Answer:
Solution to this example is given below
\(3 \frac{1}{4}=\frac{3 \times 4+1}{4}=\frac{13}{4}=3.25\) Convert to decimal number
\(2 \frac{1}{2}=\frac{2 \times 2+1}{2}=\frac{5}{2}=2.5\) Convert to decimal number
Find the area of the rectangle.
base = 3.25 ft. and height = 2.5 ft
A = bh Use the formula for the area of a parallelogram.
= 3.25 × 2.5 Substitute for base and height.
= 8.125
The area is 8.125 square feet.

Question 8.
a triangle with base 8.2 cm and height 5.1 cm ____________
Answer:
Find the area of the triangle.
b = 8.2cm h = 5.1 cm
A = bh
= \(\frac{1}{2}\)(8.2 cm)(5.1 cm) Substitute
= 20.91 square centimeters Multiply
= 20.91 cm²

Texas Go Math Grade 6 Module 16 Reading Start-Up Answer Key

Visualize Vocabulary

Use the ✓words to complete the graphic. You will put one word in each oval.

Understand Vocabulary

Match the term on the left to the correct expression on the right.

Answer:
1 – B. A parallelogram is a type of quadrilateral with opposite sides equal and parallel.
2 – C. A trapezoid is a type of quadrilateral with one pair of opposite parallel sides.
3 – A. A rhombus is a type of quadrilateral with all sides equal and opposite sides are parallel.

Active Reading
Booklet Before beginning the module, create a booklet to help you learn the concepts in this module. Write the main idea of each lesson on each page of the booklet. As you study each lesson, write important details that support the main idea, such as vocabulary and formulas. Refer to your finished booklet as you work on assignments and study for tests.