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#1 What is the volume of a pyramid with base area B = 6 ft2 and height h = 13 ft? A. 26 ft3 B. 39 ft3 C. 52 ft3 D. 78 ft3 #2 The base of a square pyramid has a side length of 6 inches. The height of the pyramid is 12 inches. What is the volume of the pyramid? A. 144 in3 B. 36 in3 C. 72 in3 D. 108 in3
Answer:
1). Option A is correct.
2). option A is correct.
Step-by-step explanation:
1).
Given : Area of Base = 6 ft.² and height, h = 13 ft.
Volume of pyramid =
=
= 2 × 13 = 26 ft.³
Therefore, Option A is correct.
2).
Side of square of base = 6 inches.
Height of pyramid = 12 inches
Base Area = Area of Square
= side × side = 6 × 6 = 36 inches²
Volume of pyramid =
=
= 36 × 4 = 144 inches³
Therefore, Option A is correct.
Answer:
Consider the graph and equation, y = 3x, that represent Alonso’s walking speed. What relationship is represented by this equation and graph? What would the points (3, 9) and (5, 15) represent?
Step-by-step explanation:
A. 10/23
B. 12/23
C. 15/23
D. 8/23
Answer:
C. 15/23
Step-by-step explanation:
This is because when working with probability, the first step is to determine what the probability you are finding is of.
1. You are finding the probability of it being a foreign country, so this would include England (5), France (8) and Germany (3). There are 15 stamps from outside countries.
2. In total, there are 23 stamps in the book, so the answer will always be "___ out of 23."
3. Putting these together, you can determine that her chance of picking a stamp from another country out of the book would be 15/23
If we slice this down the middle and fit it together like a puzzle we'll get a rectangle base 9.6/2 and height 4.8+9 so area (9.6/2)(4.8+9) = 66.24 square units.
Choice d
Think of the area divided into two parts.
A rectangle, 4.8 units by 9.6 units,
and a triangle with base 9.6 units and height 9 - 4.8 = 4.2 units.
Find the areas of the rectangle and triangle and add them.
Rectangle:
A = LW = 4.8 * 9.6 = 46.08
Triangle:
A = bh/2 = 9.6 * 4.2/2 = 20.16
Add the areas:
46.08 + 20.16 = 66.24
Answer: d. 66.2 units^2