<span>The <u>correct answer</u> is:
576 sq. cm.
Explanation:
The surface area of a figure is the sum of the areas of the faces of the figure.
The slant height goes from the apex of the pyramid along a face and is perpendicular to the base at the bottom of that face. This gives us 2 measurements of each triangular face of the pyramid: the height (the slant height of the pyramid is the height of the triangular face), 18 cm, and the base <span>of the triangular face, 12 cm.
The formula for the area of a triangle is A = 1/2bh; using our measurements we have:
A = 1/2(12)(18) = 108 sq. cm.
There are 4 triangular faces on a square pyramid, and each will have an area of 108 sq. cm.; this gives us:
4(108) = 432 sq. cm.
The area of the base is given by length times width, or 12*12 = 144 sq. cm.
This gives us a total surface area of 432+144=576 sq. cm.</span></span>
Answer:
7(2+3x)-3x and 4(3+3x)+2(1+3x)
Step-by-step explanation:
7(2+3x)-3x
= 14 + 21x - 3x
= 18x + 14
2(6x+7)+10x
= 12x + 14 + 10x
= 22x + 14
4(3+3x)+2(1+3x)
= 12 + 12x + 2 + 6x
= 18x + 14
7(2+3x)-3x and 4(3+3x)+2(1+3x) are equal expressions.
Answer:
bathroom area is 1/4 area of bedroom
Step-by-step explanation:
bathroom area = 35 sq ft
bedroom area = 140 sq ft
Answer:
C. (6 × 5) × 2 = 60 m³
D. 5 × (6 × 2)
E. (2 × 5) × 6
Step-by-step explanation:
Volume of a rectangular prism can be given as, V = L*W*H
L = 6
W = 5
H = 2
However, whichever way we choose to use as either L, W, or H, we would still get the same value as the volume.
Thus:
✔️V = (6 × 5) × 2 = 60 m³
✔️V = 5 × (6 × 2) = 60 m³
✔️V = (2 × 5) × 6 = 60 m³
These are the three expressions that can be used to find the volume.
Both options A and D apply.
