Question

what is the surface area? 7 yd 7 yd 4 yd square yards submit

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 \(S = 2(lw+lh + wh)\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height. Here, \(l = 7\) yd, \(w=4\) yd, \(h = 7\) yd.

Step2: Calculate each part of the formula

First, calculate \(lw\): \(lw=7\times4 = 28\). Then calculate \(lh\): \(lh = 7\times7=49\). Next, calculate \(wh\): \(wh=4\times7 = 28\).

Step3: Substitute into the formula

Substitute these values into the formula \(S=2(28 + 49+28)\). First, add the values inside the parentheses: \(28+49 + 28=105\). Then multiply by 2: \(S = 2\times105\).

Step4: Get the final result

\(S=210\)

Answer:

\(210\)