Question

The surface area of a rectangular prism is 2210 cm2. Two of the dimensions are 5 cm and 10 cm. Find the measure of the other dimension. Need help do not understand.

Answer 1

The surface area of a rectangular prism is 2210 cm^2 Then the other dimension is 70.3 cm

Solution:

Given that surface area of rectangular prism is 2210 square centimeter

Also given that two of dimensions are 5 cm and 10 cm

To find: other dimension

The total surface area of the rectangular prism is gievn as:

$\text {Total surface area }=2(lb+b h+h l)$

Where, "l" is the length and "b" is the breadth and "h" is the height

The given values are:  l = 5cm and b = 10cm

On substituting the given values in formula we get,

$\begin{array}{l}{2210=2(l \times b+b \times h+h \times l)} \\\\ {2210=2(5 \times 10+10 \times h+h \times 5)} \\\\ {2210=2(50+10 h+5 h)} \\\\ {1105=50+15 h} \\\\ {1055=15 h} \\\\ {h=70.3}\end{array}$

Thus the other dimension is 70.3 cm