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MATH / A particular right square-based pyramid has a volume of 63,960 cubic meters and…

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Answer published by the source. Consult the official source to check your work against its answer.

problem

A particular right square-based pyramid has a volume of 63,960 cubic meters and a height of 30 meters. What is the number of meters in the length of the lateral height (AB¯\overline{AB}) of the pyramid? Express your answer to the nearest whole number. [asy] draw((-8,0)--(0,20)--(8,0)--cycle); draw((8,0)--(11,4.5)--(0,20)); draw((9.5,2.3)--(0,20)); //draw((9,3.3)--(9.7,4.3)--(10.6,3.1)); dot((9.5,2.3)); label("BB",(9.5,2.3),SE); label("AA",(0,20),N); draw(rightanglemark((0,20),(9.5,2.3),(11,4.5),25)); dot((0,20)); [/asy]
Plain-text mathematical notation (without MathML)
A particular right square-based pyramid has a volume of 63,960 cubic meters and a height of 30 meters. What is the number of meters in the length of the lateral height ((AB)¯) of the pyramid? Express your answer to the nearest whole number.

[asy]
draw((-8,0)--(0,20)--(8,0)--cycle);
draw((8,0)--(11,4.5)--(0,20));
draw((9.5,2.3)--(0,20));
//draw((9,3.3)--(9.7,4.3)--(10.6,3.1));
dot((9.5,2.3));
label("B",(9.5,2.3),SE);
label("A",(0,20),N);
draw(rightanglemark((0,20),(9.5,2.3),(11,4.5),25));
dot((0,20));
[/asy]
Original LaTeX notation
A particular right square-based pyramid has a volume of 63,960 cubic meters and a height of 30 meters. What is the number of meters in the length of the lateral height ($\overline{AB}$) of the pyramid? Express your answer to the nearest whole number.

[asy]
draw((-8,0)--(0,20)--(8,0)--cycle);
draw((8,0)--(11,4.5)--(0,20));
draw((9.5,2.3)--(0,20));
//draw((9,3.3)--(9.7,4.3)--(10.6,3.1));
dot((9.5,2.3));
label("$B$",(9.5,2.3),SE);
label("$A$",(0,20),N);
draw(rightanglemark((0,20),(9.5,2.3),(11,4.5),25));
dot((0,20));
[/asy]

level

Level 4

type

Geometry

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Source and history

task_id
966c9a1a-46fb-5d41-b16e-cbeb7151410a
task_key
geometry--test--966c9a1a-46fb-5d41-b16e-cbeb7151410a
task_revision_id
1
config / split
geometry / test

Official source

initial import