The following square-based pyramid has a base area of 30 square units and a volume of 96 cubic units. The
1 answer:
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Answer:
See explanation
Step-by-step explanation:
The hypotenuse is the longest side of a triangle.
You could either add a point at (3,2) or (6,9) to make a right triangle and get the same answer, but for the sake of looking at it right-side-up, I'd use (3,2).
Now, you can use the distance vertically (y coordinate) from the top point to the bottom point ( 9 to 2 ) as your first side length. 9-2= 7, so 7 is that side length.
Then, you can use the distance horizontally (x coordinate) from the bottom left point (3,2) to the bottom right point (6,2). 6-3= 3, so 3 is that side length.
Now for the Pythagorean Theorem (a^2 + b^2 =c^2)
7^2 + 3^2 = c^2
49+9=c^2
58=c^2
c= is the distance between points
Corrected Question
The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.
The area of one triangular face is 7.5,8.125,15,or 17
The surface area of the triangular prism is 55.5,127.5,135,or 150
Answer:
(B)2 triangular faces
(C)3 lateral faces.
(A)Area of one Triangular Face
(C)Total Surface Area of the Triangular prism
Step-by-step explanation:
The triangular prism is attached.
The triangular prism shown has 2 triangular faces and 3 lateral faces.
Base of the triangle =2.5mm
Height of the Triangle =6mm
Area of one Triangular Face
The dimensions of the lateral rectangles are:
- 2.5 mm by 8mm
- 6 mm by 8mm
- 6.5 mm by 8mm
Therefore, total surface area of the triangular prism
=2(Area of one Triangular Face)+Area of 3 rectangular faces
Total Surface Area of the Triangular prism
