Question

surface area - rectangular prism
decimals: 51
find the surface area of each rectangular prism.
1)
2)
3)
surface area =
surface area =
surface area =
4)
5)
6)
surface area =
surface area =
surface area =

Explanation:

Step1: Recall the formula for the surface area of a rectangular prism

The formula for the surface area \(S\) of a rectangular prism is \(S = 2(ab+bc + ac)\), where \(a\), \(b\), and \(c\) are the lengths of the three sides of the rectangular prism.

Step2: Calculate the surface area for the first prism

For the first prism with \(a = 7.1\) ft, \(b=8.5\) ft, \(c = 10.3\) ft:

$$
LATEXBLOCK0
$$

Step3: Calculate the surface area for the second prism

For the second prism with \(a = 2.5\) in, \(b = 4.3\) in, \(c=10.4\) in:

$$
LATEXBLOCK1
$$

Step4: Calculate the surface area for the third prism

For the third prism with \(a = 9.5\) yd, \(b = 12.2\) yd, \(c = 9.8\) yd:

$$
LATEXBLOCK2
$$

Step5: Calculate the surface area for the fourth prism

For the fourth prism with \(a = 11.5\) in, \(b = 2\) in, \(c = 6.5\) in:

$$
LATEXBLOCK3
$$

Step6: Calculate the surface area for the fifth prism

For the fifth prism with \(a = 7.2\) yd, \(b = 12.9\) yd, \(c = 5.1\) yd:

$$
LATEXBLOCK4
$$

Step7: Calculate the surface area for the sixth prism

For the sixth prism with \(a = 6.5\) ft, \(b = 7.2\) ft, \(c = 10.4\) ft:

$$
LATEXBLOCK5
$$

Answer:

1. \(442.06\space ft^{2}\)
2. \(162.94\space in^{2}\)
3. \(657.12\space yd^{2}\)
4. \(221.5\space in^{2}\)
5. \(390.78\space yd^{2}\)
6. \(378.56\space ft^{2}\)