Triangular prism has 2 equilateral triangular faces as bases and 3 lateral rectangle faces.
the dimensions are as follows
equilateral triangle - sides - 4 inches each
height - 3.5 inches
area of 1 equilateral triangle - 1/2 x side x height
= 1/2 x 4 inches x 3.5 inches
= 7 sq.inches
As the base is an equilateral triangle, all 3 sides of the triangle are equal, hence, all the rectangles have the same breadth and height
rectangle - length - 5 inches
breadth - 4 inches
area of 1 rectangle = length x breadth
= 5 x 4 = 20 sq.inches
lateral area - area of the rectangle faces
= 20 x 3 rectangle faces
= 60 sq.inches
total surface area = base area + lateral area
= (area of triangles x2) + 60
= (7x2) + 60
total surface area = 74 sq.inches
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Answer:
B. loga(p) = m
Step-by-step explanation:
Equivalent forms are ...
![a^m=p\quad\longleftrightarrow\quad\log_a(p)=m](https://tex.z-dn.net/?f=a%5Em%3Dp%5Cquad%5Clongleftrightarrow%5Cquad%5Clog_a%28p%29%3Dm)
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<em>Additional comment</em>
It helps me to remember that a logarithm is an exponent. The base of the exponent is the base of the logarithm.
Answer:
5 faces
Step-by-step explanation:
V – E + F = 2
We know that V = 5 and E = 8
Substitute these into the equation
5 -8+F = 2
-3+F =2
Add 3 to each side
-3+F+3 = 2+3
F=5
Answer:
Isosceles trapezoid
Step-by-step explanation:
Plotting the points show us that this shape is at least a trapezoid, by the fact that only one pair of parallel sides.
To show that it is isosceles is done by finding the lengths of the diagonals, which takes quite long, but here, it is very clear that the two non-parallel sides are congruent, and the parallelogram is perfectly symmetrical.