Question

Can some one plz help me?! The LATERAL Surface Area for the shape below is:

Answer 1

Answer:

430 cm2

Step-by-step explanation:

The Lateral Surface Area of it is equal to:

Area of ABCD + Area of A'B'C'D' + Area of ABB'A' + Area of DCC'D' + Area of ADD'A' + Area of BCC'B'

As ABCDA'B'C'D' is a rectangle prism, so that:

+) Area of ABCD = Area of A'B'C'D'

+) Area of ABB'A' = Area of DCC'D'

+) Area of ADD'A' = Area of BCC'B'

=> Total lateral surface area = 2. Area ABCD + 2. Area ABB'A + 2. Area ADD'A

As ABCDA'B'C'D' is a rectangle prism, so that we have: ABCD, ABB'A', ADD'A' are rectangles.

The formula to calculate the area of rectangle is: Area = Length x Width

We have:

+) Area ABCD = AB x BC =11 x 10 = 110 cm2

+) Area ABB'A = AB x AA' = 11 x 5 = 55 cm2

+) Area ADD'A = AA' x A'D' = 5 x 10 = 50cm2

Total lateral surface area = 2. Area ABCD + 2. Area ABB'A + 2. Area ADD'A

= 2 x 110 + 2 x 55 + 2 x 50 = 430 cm2