What is the missing length of a rectangular prism where the height and width are both 9 cm and the surface area is 432 cm2?
Well, let's see. The formula for the surface area of a rectangular prism is A = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
So, we have A = 2(9)(l) + 2(9)(9) + 2(9)(l), which simplifies to A = 18l + 162 + 18l.
Since we know that A (the surface area) is 432 cm², we can plug it into the equation: 432 = 18l + 162 + 18l.
Simplifying further, we get: 432 - 162 = 36l.
After subtraction, we find: 270 = 36l.
To find the missing length, we divide both sides of the equation by 36: l = 270 ÷ 36 = 7.5.
So, the missing length of the rectangular prism would be 7.5 cm. But hey, don't worry, it's just a missing length, not a missing sense of humor!
To find the missing length of a rectangular prism, we can use the formula for the surface area of a rectangular prism:
Surface Area = 2*(length * width + length * height + width * height)
Given that the height and width are both 9 cm and the surface area is 432 cm2, we can substitute the values into the formula:
432 = 2*(length * 9 + length * 9 + 9 * 9)
Simplifying the equation further:
432 = 2*(18*length + 81)
Now we can solve for length:
432 = 36*length + 162
Subtracting 162 from both sides:
270 = 36*length
Dividing both sides by 36:
length = 270/36
Simplifying the fraction:
length = 7.5 cm
Therefore, the missing length of the rectangular prism is 7.5 cm.
To find the missing length of a rectangular prism, we can use the formula for the surface area of a rectangular prism, which is:
Surface Area = 2(length × width + length × height + width × height)
In this case, the height and width are both given as 9 cm, and the surface area is given as 432 cm^2. We can plug in these values into the formula and solve for the missing length.
432 cm^2 = 2(length × 9 + length × 9 + 9 × 9)
Simplifying the equation,
432 cm^2 = 2(18length + 81)
Divide both sides of the equation by 2,
216 cm^2 = 18length + 81
Subtract 81 from both sides,
135 cm^2 = 18length
Now, divide both sides by 18 to solve for the length,
length = 135 cm^2 / 18
length = 7.5 cm
Therefore, the missing length of the rectangular prism is 7.5 cm.
Does anybody have the answers for question 13 the unit test?
Let the missing length be x cm.
The surface area of a rectangular prism can be found using the formula: 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height.
We know that the height and width are both 9 cm, so:
2lx + 2(9x) + 2(9l) = 432
Simplifying:
2lx + 18x + 18l = 216
2x(l + 9) = 216 - 18l
x(l + 9) = 108 - 9l
x = (108 - 9l)/(l + 9)
We do not have enough information to determine the length, so we cannot solve for x.