Answer:
144 m^3
Step-by-step explanation:
Please find attached the image of the prisms
Volume of a triangular prism = area of the base x height of the prism
Area of the base = 1/2 ( base x height)
the two prisms are similar, thus, the dimensions of the bigger rectangle can be gotten from the ratio of the base of the smaller and bigger triangle
ratio of their dimensions = 6 / 1.5 = 4
the dimensions of the bigger triangle is 4 times that of the smaller triangle
height of the base of the prism = 1.5 x 4 = 6
Height of the prism = 2 x 4 = 8
Area of the base of the prism = (1/2) x 6 x 6 = 18 m^2
Volume of the prism = 18 x 8 = 144 m^3
Answer:
C) When an altitude is drawn from the right angle of a right triangle it creates three similar triangles.
Step-by-step explanation:
The Inscribed Similar Triangles Theorem states that if an altitude is drawn from the right angle of any right triangle, then the two triangles formed are similar to the original triangle and all three triangles are similar to each other.
Answer:
L = w+2
L+w = 60
W+2+w = 60
2w+2 = 60
W+1 = 30
W = 29
L = 31
Answer:
Step-by-step explanation:
<u>Since all graphs pass throught the origin, they all have the form of:</u>
- y = ax², where a- coefficient
The coefficient of each graph's equation can be calculated based on the given pairs of points.
Each of them calculated for you and attached below.
The perimeter of the top of the basket is 20 in.
<h3>
What is perimeter of square?</h3>
Perimeter of square is defined as addition the lengths of the square's four sides.
Diagonal = 6
Let, side of square = a
a²+a² = 6²
2a² = 36
a² = 18
a = 3√2
Perimeter of the square = 4 × side of square
Perimeter of the square = 4 × 3√2
Perimeter of the square = 12√2 ≈ 20 in
Hence, the perimeter of the top of the basket is 20 in.
Learn more about Perimeter of square
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