Mathematics, 28.02.2021 20:40 misst002

What is the surface area of this triangular prism?

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Answer from: bryantjorell

surface area = 136 m^2

Step-by-step explanation:

The prism has 5 faces.

Faces 1 and 2: The front and back faces are two congruent triangles with base 6 m and height 4 m.

Face 3: The bottom face is a rectangle with length 7 m and width 6 m.

Faces 4 and 5: The left and right inclined faces are two congruent rectangles with length 7 m and width 5 m.

area = area of faces 1 and 2 + area of face 3 + area of faces 4 and 5

area of triangle = bh/2

area of rectangle = LW

area = 2 * 6 m * 4 m / 2 + 7 m * 6 m + 2 * 7 m * 5 m

area = 24 m^2 + 42 m^2 + 70 m^2

area = 136 m^2

surface area = 136 m^2

Answer from: princessjsl22

136 m^2

Step-by-step explanation:

Surface area is the area of all the sides added together.

Front = triangle = b * h = 6 * 4 = 12 12

2 2

Back = triangle = b * h = 6 * 4 = 12 12

2 2

Right = Rectangle = l * w = 7 * 5 = 35 35

Left = Rectangle = l * w = 7 * 5 = 35 35

Bottom = = Rectangle = l * w = 7 * 6 = 42 42

136 m^2

Answer from: Quest

24/56=hx^7

step-by-step explanation:

Answer from: Quest

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has vertices $p(1,2),q(2,1),r(3,2),s(3,3)$ recall that for counterclockwise rotation about the origin, $(x,y)\rightarrow (-x,-y)$ when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become $p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)$ next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain, $p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)$ therefore the correct answer is c

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