Question

Please answer the questions (for 50 points) Also please show work on the answer

Answer 1

144 sq cm

Explanation:

The base is a triangle. Area of a triangle is:

A = 1/2 b • h

A = 1/2(4)•3

A = 6

There are 2 of these bases.

Area of 2 bases= 12.

There are three rectangular sides. Area of a rectangle is:

A = l × w (or b•h)

A = 5 × 11 = 55

A = 3 × 11 = 33

A = 4 × 11 = 44

Add up three rectangular faces and two bases for Total Surface Area:

12 + 55 + 33 + 44

= 144 sq cm

Answer 2

144 cm ²

Explanation:

The surface area of a right triangular prism is made up of 2 congruent triangles (these are called the "bases") and 3 rectangles.

Surface area of a right triangular prism formula

Surface area = (S₁ + S₂ + S₃)L + bh

where:

• S₁, S₂ and S₃ are the side lengths of the triangle
• L is the length of the prism
• b is the length of the base of the triangle
• h is the height of the triangle

⇒ Surface area = (3 + 4 + 5)11 + 4 × 3

= (12)11 + 12

= 132 + 12

= 144 cm²