#### 题目列表

E is the center of square ABCD.AB = 8

AE

#### Quantity B

4

Each edge of the cube shown above has length n. What is the perimeter of quadrilateral ABDE?
ABCG and CDEF are squares with the same area touching at point C. ∠BCD is a right angle.

#### Quantity A

3 times the length of AB

#### Quantity B

The length of AE

The figure above is a cube with edges of length 9. Points C and D lie on diagonal AB such that points A, C, D, and B are equally spaced. As shown, a right circular cylindrical hole is cut out of the cube so that segment CD is a diameter of the top of the hole. What is the volume of the resulting figure?
What is the total surface area of a cube with a volume of 512?
The total surface area of a cube is 54.

#### Quantity A

The length of a diagonal of one face of the cube

#### Quantity B

3

Cube C has an edge of 4 and cube D has an edge of 5.

#### Quantity A

The ratio of cube Cs total surface area to its volume

#### Quantity B

The ratio of cube Ds total surface area to its volume

A certain building is a rectangular solid with a square base of side length 25m and a volume of 13,000$m^3$. What is the volume, in cubic meters, of a building that has a square base with a side of 75m and the same height as the other building?
Marty has a right circular cylindrical pool of diameter 12 feet and his neighbor, Rusty, has a right circular cylindrical pool of diameter 18 feet. If the depths of the pools are equal, then the volume of water in Rustys pool is how many times that in Martys pool?
A is the center of the top face of the right circular cylinder in the figure above. If the degree measure of ∠BAC is four times that of ∠ACB, and the height of the cylinder is equal to the diameter of its base, then the volume of the shaded region is what fraction of the volume of the entire cylinder?_____
Jack is storing a rectangular box inside a cylindrical container. The container has a volume of 980π cubic inches and a height of 20 inches. Which of the following dimensions could the box have in order to fit inside the cylinder?Indicate all possible values.
The Pranger Metal Company makes solid cylindrical steel rods by melting down blocks of steel and pouring the melted steel into molds. Each cylindrical rod has a diameter of 14 inches and a height of 8 inches, and the dimensions of each steel block are 2 feet by 12 feet by 15 feet. If no steel is lost in the production process, how many complete cylinders can be made from a single block of steel?_____
What is the surface area of a right circular cylinder with a radius of r and a height that is 1.5 times its diameter?
If the volume of a cube equals 64, what is the surface area of the cube?_____
The diagonal of the face of a cube is less than $10\sqrt2$ cm. Which of the following could be the volume of the cube?Indicate all possible values.
To pack her books, Rebekka requires a cube-shaped box with a volume of at least 2 cubic feet. Which of the following amounts could be the length of the edge of her box, in feet?Indicate all possible values.
Emily must ship a cylinder-shaped gift with a height of 11 inches and a volume of 176π cubic inches. What is the volume, in cubic inches, of the smallest rectangular box which can contain this cylinder?_____
In the rectangular solid above, RS = ST = TU = 7.5. Which of the following is true?
A rectangular shipping container has dimensions of 23 feet by 29 feet by 37 feet. What is the longest distance between any two corners of the container, rounded to the nearest foot?
What is the surface area, in square inches, of a box that measures 29 inches by 37 inches by 47 inches?_____

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