It just gives me the picture and answers.
A) 668 m^2; 704 m^2 B) 645 m^2; 740 m^2 C) 668 m^2; 740 m^2 D) 645 m^2; 812 m^2

Question

It just gives me the picture and answers.
A) 668 m^2; 704 m^2 B) 645 m^2; 740 m^2 C) 668 m^2; 740 m^2 D) 645 m^2; 812 m^2

anonymous · Answer

attachment

mathstudent55 · Answer

Since all answers have units m^2, it's probably asking for an area.

mathstudent55 · Answer

If it's asking for total surface area, then you have to add the areas of the three sides plus the two bases. Each side is a rectangle with the given dimensions, and the bases are two congruent triangles with the given dimensions.

If it's asking for lateral area, then it's only the sum of the areas of the 3 rectangles.

mathstudent55 · Answer

Oh I see, each answer has two numbers in it. So I think it's asking what is the lateral area and the total area of the triangular prism?

anonymous · Answer

Still confused. You said for the total surface area add the three sides and two bases but It only gives me 4 numbers?

mathstudent55 · Answer

Lateral area: 3 rectangles, call their areas  AR1, AR2, AR3, and call lateral area LA
AR1 = 12.04 m x 23 m = 276.92 m^2
AR2 = 9 m x 23 m = 207.00 m^2
AR3 = 8 m x 23 m = 184 m^2
LA = AR1 + AR2 + AR3 = 667.92 m^2

mathstudent55 · Answer

The bases are triangles, call the area of a base AB, and you have two of them
AB = (1/2)bh = (1/2)* m)(9 m) = 36 m^2
The two bases, then, have area 2AB = 72 m^2

Total surface area is LA + 2AB = 667.92 m^2 + 72 m^2 = 739.92 m^2

anonymous · Answer

okay that makes sense  thx so much!

mathstudent55 · Answer

great, you're welcome

anonymous · Answer

I need help with one more like this... setting it up if you don`t mind?

mathstudent55 · Answer

sure go ahead

anonymous · Answer

Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.

anonymous · Answer

A) 208 m^2; 188 m^2 B) 136 m^2; 188 m^2 C) 136 m^2; 240 m^2 D) 208 m^2; 240 m^2

mathstudent55 · Answer

Here you have a rectangular prism. There are 4 lateral surfaces, and two bases. Here, the lateral surfacwes come in pairs of congruent surfaces. They are all rectanlges.
The lateral surface area is made up of all the vertical surfaces, the front and back surfaces, and the side surfaces. The bases are the top and bottom surfaces.
Lateral Area = 2(4)(13) + 2(4)(4) = 136 m^2
The bases = 2(4)13) = 104 m^2
Add the lateral area to the bases to get total surface area:  136 m^2 + 104 m^2 = 240 m^2

anonymous · Answer

your a life saver! thx (:

mathstudent55 · Answer

you're welcome