What is the surface area of the prism in square feet?
1 answer:
The surface area of the rectangular prism is 52 square feet (), if the height is 4 feet, width is 3 feet and depth is 2 feet.
Step-by-step explanation:
The given is,
A rectangular prism of
Let, h - height of the rectangular prism
w - Width of the rectangular prism
d - Depth of the rectangular prism
Step:1
From given,
h = 4 feet
w = 3 feet
d = 2 feet
Step:2
Formula to calculate the surface area of the rectangular prism is,
Substitute the values of w,d and h
= 2 [(3×2) + (4×2) + (4×3)]
= 2 (6+8+12)
= 2 × 26
= 52
A = 52 Square feet
Result:
Thus the surface area of the rectangular prism is 52 square feet (), if the height is 4 feet, width is 3 feet and depth is 2 feet.
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Based on the mass of the circle and the triangle, we can find the mass of the square to be<u> 3.33 grams</u>
<h3>Mass of each side of hanger </h3>Assuming the mass of the square is x, the equation for the first side is:
= (3 x mass of circle) + (2 x mass of triangle) + (6 x mass of square)
= ( 3 x 2) + ( 2 x 4) + ( 6 × x)
= 6 + 8 + 6x
Mass of other side:
= (2 x mass of circle) + (5 x mass of triangle) + (3 x mass of square)
= ( 2 x 2) + ( 5 x 4) + ( 3 × x)
= 4 + 20 + 3x
<h3>Mass of square </h3>As both sides are equal, equate both formulas to find x:
6 + 8 + 6x = 4 + 20 + 3x
6x - 3x = 24 - 14
3x = 10
x = 10/3
x = 3.33 grams
In conclusion, each square is 3.33 grams.
Find out more on problems requiring equating at brainly.com/question/20213883.
Answer is
U= (-2,2)
V=(-2,4)
W= (-4,3)
Step by step
Find points for the triangle.
Using the rule for reflection across y axis.
The rule for a reflection over the y -axis is (x,y)→(−x,y)
U (2,2) ➡️ (-2,2)
V (2,4) ➡️ (-2,4)
W (4,3) ➡️ (-4,3)
U= (-2,2)
V=(-2,4)
W= (-4,3)
Step by step
Find points for the triangle.
Using the rule for reflection across y axis.
The rule for a reflection over the y -axis is (x,y)→(−x,y)
U (2,2) ➡️ (-2,2)
V (2,4) ➡️ (-2,4)
W (4,3) ➡️ (-4,3)