Question

units givenQuestion 2 (3 points)toUsing the Rectangular Prism in the picture, find the Lateral Area, the Area of a Single Base,and the TOTAL Surface Area:.12 cm825 cm10 cmUse the face with dimensions 10cm x 5cm as the base.Lateral Area =cm²Single Base Area =64188 in48cm²

Answer 1

Given the rectangular prism;

Where;

`\begin{gathered} length,l=10cm \\ \\ width,w=5cm \\ \\ height,h=2cm \end{gathered}`

Thus, the lateral area, L is;

`\begin{gathered} L=2(l+w)h \\ \\ L=2(10+5)2 \\ \\ L=4(15) \\ \\ L=60cm^2 \end{gathered}`

ANSWER:

`Lateral\text{ }Area=60cm^2`

Also, the single base area, B, is;

`\begin{gathered} B=l* w \\ \\ B=10*5 \\ \\ B=50cm^2 \end{gathered}`

ANSWER:

`Single\text{ }Base\text{ }Area=50cm^2`

Then, the surface area, S, is;

`\begin{gathered} S=L+2B \\ \\ S=60+2(50) \\ \\ S=60+100 \\ \\ S=160cm^2 \\ \\ \end{gathered}`

ANSWER:

`Surface\text{ }Area=160cm^2`