The question is incomplete because it was not properly and correctly arranged
Complete Question:
A rectangular prism has a length of 7 m, a height of 5 m, and a volume of 140 m³. What is the width? A prism has a length of 7 meters, width of w, and height of 5 meters.
Which steps are correct? Check all that apply.
a) Substitute the known values into the formula: 140 = 7(w)(5).
b) Substitute the known values into the formula: 7 = 140(w)(5).
c) Substitute the known values into the formula: 5 = 7(w)(140).
d) Solve for the unknown: w = 4 m.
e) Solve for the unknown: w = 7 m.
f) Solve for the unknown: w = 2 m.
Answer:
a) Substitute the known values into the formula: 140 = 7(w)(5).
d) Solve for the unknown: w = 4 m.
Step-by-step explanation:
The steps that are correct are Options a) and d). This is because:
Step 1
The volume of a rectangular prism is calculated as:
Volume of a rectangular prism = Length (l) × Width(w) × Height(h)
The unit of the volume or a rectangular prism is in cubic metres (m³)
In the question, we are asked to find the unknown value which is the width and we were given the following known values:
Length = 7 m,
Height = 5 m
Volume = 140 m³
Step 2
Solve for the unknown value( Width)
Volume of a rectangular prism = Length (L) × Width(W) × Height(H)
140m³ = 7m × Width(m) × 5m
140m³ = 35m² × Width(m)
Width(w) = 140m³ ÷ 35m²
Width(w) = 4m
Hence, the unknown Width(w) = 4m
From the above explanation we can see that the correct steps is Option a) and Option d)
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