Sarah is hiking on a trail near her home. She traveled 5 miles before stopping for a break. After the break, Sarah plans on incr
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Find the GCF of the numbers 48, 6 and 26.
The largest number each can be divided by is 2, which is the GCF.
Find the GCF of
The GCF is always the smallest exponent, so is the GCF
Combine the two GCF for the answer
Given:
• AB = 6 cm
,• SM = √15 cm
Let's solve for the following:
• 1) the base elevation AM.
Given that we have a regular triangular pyramid, the length of the three bases are equal.
AB = BC = AC
BM = BC/2 = 6/2 = 3 cm
To solve for AM, which is the height of the base, apply Pythagorean Theorem:
The base elevation of the pyramid is 5.2 cm.
• (2)., The elevation SO.
To find the elevation of the pyramid, apply Pythagorean Theorem:
Where:
SM = √15 cm
MO = AM/2 = 5.2/2 = 2.6 cm
Thus, we have:
Length of SO = 2.9 cm
• (3). Area of the base:
To find the area of the triangular base, apply the formula:
Thus, we have:
The area of the base is 15.6 square cm.
• (4). Area of the side surface.
Apply the formula:
Where:
p is the perimeter
h is the slant height, SM = √15 cm
Thus, we have:
• (5). Total surface area:
To find the total surface area, apply the formula:
Where:
Area of base = 15.6 cm²
Area of side surface = 34.86 cm²
TSA = 15.6 + 34.86 = 50.46 cm²
The total surface area is 50.46 cm²
• (6). Volume:
To find the volume, apply the formula:
Where:
Area of base = 15.6 cm²
Height, SO = 2.9 cm
Thus, we have:
The volume is 15.08 cm³.
ANSWER:
• 1.) 5.2 cm
,• 2.) 2.9 cm
,• 3.) 15.6 cm²
,• 4.) 34.86 cm²
,• (5). 50.46 cm²
,• 6). 15.08 cm³.