Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

construction math worksheet name: sema j date: 10/05/26 instructions: s…

Question

construction math worksheet
name: sema j date: 10/05/26
instructions: show all your work. use a calculator if necessary. answer all 20 questions.
section 1: fractions, decimals, and measurement (8 questions)

  1. convert 3/4 inch to a decimal.
  2. convert 0.625 inches to a fraction in simplest form.
  3. a piece of plywood is 4 feet 7 inches long. how many inches long is it?
  4. if a 2x4 board is 8 feet long and you cut off 2 feet 9 inches, how much remains?
  5. a construction worker cuts three boards:
  • board a: 1 ft 4 in
  • board b: 2 ft 8 in
  • board c: 3 ft 6 in

what is the total length in feet and inches?

  1. a doorway measures 36 inches wide. what is the width in feet?
  2. convert 12 feet 9 inches into inches only.
  3. you have a tape measure marked in 1/16ths of an inch. what is the decimal equivalent of 7/16?

section 2: area, volume, and geometry (7 questions)

  1. find the area of a rectangular wall that is 12 feet long and 8 feet high.
  2. you need to pour a concrete slab that is 10 ft x 12 ft x 6 inches thick. how many cubic feet of concrete do you need?
  3. what is the volume, in cubic inches, of a wooden beam that is 4 in x 6 in x 10 ft?
  4. a triangle has a base of 10 ft and a height of 6 ft. find the area.
  5. a circular pipe has a radius of 4 inches. what is the area of one circular end? (use π ≈ 3.14)
  6. a room is 15 ft by 20 ft. how many square yards of carpet are needed? (1 yd = 3 ft)

Explanation:

Response

1.

Step1: Divide numerator by denominator

$3\div4 = 0.75$

Step1: Write as a fraction

$0.625=\frac{625}{1000}$

Step2: Simplify the fraction

$\frac{625\div125}{1000\div125}=\frac{5}{8}$

Step1: Convert feet to inches

$4\times12 = 48$ inches

Step2: Add remaining inches

$48 + 7=55$ inches

Answer:

$0.75$

2.