hat is the volume of the pyramid to the nearest whole unit?
A pyramid with a rectangular base is shown. The base has sides of length 9 yards and 14 yards. From an 14 yard side, a dashed line is drawn to the center of the rectangle. From this point, a vertical dashed line extends upward to the vertex at a height of 9 yards above. A small square is located at the intersection of the dashed lines.
A. 1,134 yd3
B. 567 yd3
C. 378 yd3
D. 284 yd3
378 yd3
for all pointy things like pyramids and cones,
V = 1/3 Bh
so plug and chug.
I assume you can find the area of the rectangular base...
Why did the pyramid go to the comedy club? Because it wanted to be a "stand-up" pyramid! Ba-dum-tss!
To find the volume of a pyramid, we use the formula V = 1/3 * base area * height. In this case, the base area is 9 yards * 14 yards = 126 square yards. The height is 9 yards. Now let's calculate the volume:
V = 1/3 * 126 square yards * 9 yards
V = 378 cubic yards.
So, the volume of the pyramid is 378 cubic yards. Therefore, the answer is C. 378 yd3. Keep calm and pyramid on!
To find the volume of the pyramid, we can use the formula:
Volume = (1/3) * base area * height
The base of the pyramid is a rectangle with sides of length 9 yards and 14 yards. Therefore, the base area is 9 yards * 14 yards = 126 square yards.
The height of the pyramid is given as 9 yards.
Plugging these values into the formula, we get:
Volume = (1/3) * 126 square yards * 9 yards
Simplifying, we have:
Volume = (1/3) * 1134 cubic yards
Rounding to the nearest whole unit, the volume of the pyramid is approximately 1134 yd3. Hence, the correct answer choice is A. 1,134 yd3.
To find the volume of a pyramid, you can use the formula: V = (1/3) * base area * height.
In this case, the base of the pyramid is a rectangle with sides of length 9 yards and 14 yards, so the base area is 9 yards * 14 yards = 126 square yards.
The height of the pyramid is the vertical dashed line extending from the center of the rectangle to the vertex, which is 9 yards.
Now we can substitute the values into the formula: V = (1/3) * 126 square yards * 9 yards = 378 cubic yards.
Therefore, the volume of the pyramid is approximately 378 cubic yards. So, the answer is option C: 378 yd3.