surface area, A𝐴, of a closed box is given by: A=2wb+2wh+2bh𝐴=2𝑤𝑏+2𝑤ℎ+2𝑏ℎ. Make b𝑏 the subject of the formula. A.b=A−whw+h𝑏=𝐴−𝑤ℎ𝑤+ℎB.b=2w+2hA−2wh𝑏=2𝑤+2ℎ𝐴−2𝑤ℎC.b=A−2wh2w+2h𝑏=𝐴−2𝑤ℎ2𝑤+2ℎD.b=A+2wh2w+2h
Question
surface area, A𝐴, of a closed box is given by: A=2wb+2wh+2bh𝐴=2𝑤𝑏+2𝑤ℎ+2𝑏ℎ. Make b𝑏 the subject of the formula. A.b=A−whw+h𝑏=𝐴−𝑤ℎ𝑤+ℎB.b=2w+2hA−2wh𝑏=2𝑤+2ℎ𝐴−2𝑤ℎC.b=A−2wh2w+2h𝑏=𝐴−2𝑤ℎ2𝑤+2ℎD.b=A+2wh2w+2h
Solution
The question is asking to rearrange the formula for the surface area of a closed box to make 'b' the subject. The formula is given as A = 2wb + 2wh + 2bh.
To make 'b' the subject, we need to isolate 'b' on one side of the equation. Here are the steps:
- Subtract 2wh from both sides of the equation: A - 2wh = 2wb + 2bh
- Factor out 'b' from the right side of the equation: A - 2wh = 2wb + 2hb = b*(2w + 2h)
- Divide both sides of the equation by (2w + 2h) to solve for 'b': b = (A - 2wh) / (2w + 2h)
So, the correct answer is C. b = (A - 2wh) / (2w + 2h)
Similar Questions
The formula for the volume of a box is 𝑉=𝑙𝑤ℎV=lwh. Solve the formula for the variable w
Calculate the surface area of the rectangular prism shown in the net.HINT: The formula for the area of a rectangle is 𝐴=𝑙×𝑤.View Image Description320 units squared340 units squared360 units squared440 units squared
Which of the following formulas would find the surface area of a right cylinder where h is the height, r is the radius, and BA is the base area?Check all that apply.A.2r2B.r2 + rhC.BA + 2rhD.BA + r2E.2r2 + 2rh
Jesse unfolded a cube-shaped cardboard box, as shown below. 4 ft What is the surface area, in square feet, of the cardboard box?
One formula for the surface area of a cylinder is SA=2B+Ls times eh is equal to two bee plus l, where Bbee represents the area of the base and Ll represents the lateral surface area.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.