Answer:
A). Surface area = 222 cm²
Volume = 180 cm³
B). Surface area = 375 cm²
Volume = 360 cm³
C). % increase in surface area = 67.57%
% increase in volume = 100%
Step-by-step explanation:
In the figure attached base of a prism has been given.
A). Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)
Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8
= 30
Area of the base = 8×5 - 2×2 = 36 cm²
Surface area of the prism = 30×5 + 2×(36)= 222 cm²
Volume of the prism = volume of the bigger prism - volume of the smaller prism cut off
= 8×5×5 - 2×2×5
= 200 - 20
= 180 cm³
B). Surface area of the prism if it's height is 10 cm,
Surface area = 30×10 + 2×(36) = 372 cm²
Volume of the prism = 8×5×10 - 2×2×10
= 400 - 40
= 360 cm³
C). Increase in surface area = 372 - 222 = 150 cm²
% increase in the surface area = 
= 67.57%
Increase in volume = 360 - 180 = 180 cm³
% increase in volume = 
= 100%
The answer is B, the x-axis crosses over to -8 the way the line goes also means it is a negative. I don't know for sure because i haven't done this in a while but I hope it helps.
Answer:
mLNM=63
Step-by-step explanation:
triangle JKL is isocelese so mKJL and KLJ are the same
180-72=108
108/2=54
so both mKLJ and mMLN are equal
and since triangle LMN is an isoceles then mLNM and mLMN are equal to each other
so 180-54=126
126/2=63
mLNM=63
Answer:
<em>The correct answer is: A</em>
Step-by-step explanation:
<u>Points on a Numeric Line</u>
The numeric line shown in the figure has four points A, B, C, and D. It's clear that each marked division of the line has a value of 1/4 units and all four points are below the reference zero, thus all are negative.
Point A is clearly on the -2 mark, thus
A=-2
Point B is one mark above A, thus it's located at:
Point C is one mark below -1, thus:
Finally, point D is one mark below 0:
The correct answer is: A
