Module D Outcomes 9&10 Volume and Density

A gold company creates gold bars. The new material for creating casts used for forming the gold bars comes in 11inx12inch sheets. The sheets are then formed into open top boxes. If the density of gold is 0.7 lbs per cubic inch. What is the maximum weight bar the company can make? round to the nearest weight.

• 77 lbs

• 79 lbs

• 81lbs

• 83lbs

Tags

CCSS.HSG.MG.A.2

A gold company creates gold bars. The new material for creating casts used for forming the gold bars comes in 11inx12inch sheets. The sheets are then formed into open top boxes. If the density of gold is 0.7 lbs per cubic inch. What is a realistic domain for the height of the gold bars?

• (0,5.5)

• (0,6)

• [2.5,3.5]

• (1.911,112.775)

A company produces rectangular steel pip for construction purposes. The dimensions for maximizing the volume and strenght of each rod is given. What are the three dimensions that maximize the weight of the pipe?

• 1.48, 49.7, 0.738

• 1.50, 48.22, 0.738

• 1.56, 48.68, 0.738

• 1.52, 48.52, 0.738

Tags

CCSS.7.G.B.6

A solid metal cylindrical piece of pipe has a diameter  $\frac{1}{12}$ ft and is 2ft long. The steel weighs 490 pounds per cubic ft. How much does the cylindrical pipe weigh? Use 3.14 for pi.

• 5.19lbs

• 5.49lbs

• 5lbs

• 5.34lbs

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

The volume of a box is given by the equation  $p\left(x\right)\ =\ x^3+8x^2+5x-14$ . What are the three dimensions of the box?

• (x-7)(x+1)(x-2)

• (x+7)(x-1)(x+2)

• (x+7)(x+1)(x-2)

• (x-7)(x-1)(x-2)

The formula for the surface area of a sphere is  $SA=4\pi r^2$  .
 If the surface area of a sphere is 804.248  $cm^2$ . What is the weight of the sphere if it is made from a material that is .035  $\frac{lbs}{cm^3}$   ?

• 73 lbs

• 75 lbs

• 77 lbs

• 78 lbs

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

The volume of a sphere is  $288\pi\ in^3$ . Find the radius of the sphere.

• r = 4in

• r = 5in

• r = 6in

• r = 7in

Tags

CCSS.8.EE.A.2

The volume of a square pyramid is 180 ft³ and has a height of 10 ft. Find the length of the side of the base. Check all that apply.

• $3\sqrt{6}ft$

• $7.34\ ft$

• $\sqrt{54}ft$

• $7\ ft$

Tags

CCSS.HSG.GMD.A.3

The following diagram displays a disposable mold that a company uses to craft gold cones used in jewelry. Each mold is only used once. Molds are made by a 3D printer. What is the amount of material need in order to make 500 molds?

• $190.9\ cm^3$

• $95433.6\ cm^3$

• $25.1\ cm^3$

• $12565.5\ cm^3$

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

What is the volume of the figure? How much ice cream does the cone hold?

• $36\pi\ cm^3$

• $18\pi\ cm^3$

• $54\pi\ cm^3$

• $110\ cm^3$

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9