Math

3D Geometry Solutions

The density of water is 1 gram per cm^3. An object floats in water if its density is less than water's density, and it sinks if its density is greater than water's. Will a toy in the shape of a rectangular prism that is 1 centimeter by 2 centimeter by 2 centimeter with mass 3 grams sink or float? Explain your reasoning.

Solve the system of equations: (x/3) = 3 - (2/30 y x + 2y = 13 a. (9,0) b. (0,0) c. (0, 13/2) d. infinite solutions e. no solutions

Draw the shape, Find (b) period, (c) amplitude, (d) width, (e) shift (f) (x₀), x₁, x₂, x₃, x₄, x₅, and (g) sketch a graph of the function through one full period, . f(x) = – 3 sec(2πx + π/6) + 1.

name of solid: Solid 3: number of faces: Your solid 4. Look at the polyhedron that you chose at the beginning. Which two solids do you need to create your polyhedron? How many of each solid do you need? Answer for your polyhedron. Hint: Each tetrahedron will cover one face of the other solid. (4 points: 1 point for each blank) Polyhedron 1: Solid: Number: Solid: Number: Number: Solid: Number: Polyhedron 2: Solid:

Please write your answers to each question in terms of pi if possible, for example, if the answer is 2*pi, write 2pi. If your answer can be written as a fraction, please write it as a fraction!! A cylinder has radius 9 inches and height 15 inches. A cone has the same radius and height. a. Find the volume of the cylinder. b. Find the volume of the cone. c. What fraction of the cylinder's volume is the cone's volume? a. The volume of the cylinder is cubic inches b. The volume of the cone is cubic inches c. The cone's volume is the cylinder's volume

A small toy in the shape of a right pyramid with a square base is floating in a pool of water. The height of the pyramid is 5 inches. One-third of this height is above the surface of the water and two-thirds of it is below the surface of the water. The square cross section of the pyramid at the surface of the water has an area of 3.6 square inches. This cross section is parallel to the base. What is the volume, in cubic inches, of the portion of the pyramid that is above the water? The volume of the small toy floating above water is (a) cubic inches

Find the lateral area and surface area of each regular pyramid. Round to the nearest tenth if necessary. 10 ya 9 yd S a. L=45 yd?; S = 180 yd? b. L = 180 yd : S=261 yd? c. L=45 yd?: S=261 yd? d. L= 135 yd, S=215 yd?

Clever Portal x A ALEKS. Mariah Butler-Lea X Question 4 - Dynamic Mod X Roundin + Cobcdn.assess.prod.mheducation.com/dle-assess-delivery-ul/v3.10.0/assessment/page/4?ta gloucestertownshipschools.org bookmarks C Clever Portal Mc Graw Dynamic Module Practice (RM C3 M10) Hill Question 4 of 8 v > Find the volume of a cone with a height of 6 ft and a base diameter of 12 ft. a Use the value 3.14 for T, and do not do any rounding. Be sure to include the correct unit in your answer. 6 6 LL 1221 - 3811 FI Next Question Check Answer MER Terms of Use Minimum Res o hp esc C DII O @ 2 $ # 3 % A * 4 5 & 7 6 8 9 W e r t y u a S d f g h Z X C V b n alt

A description of a line is given. Find parametric equations for the line. (Enter your answers as a comma-separated list. Let x, y, and z be in terms of t.) The line crosses the z-axis where z = 6 and crosses the xy-plane where x = 2 and y = 9. Need Help? Read It Watch It Submit Answer (-/1 Points] DETAILS SPRECALC7 9.6.029. MY NOTES PRACTICE ANOTHER A description of a line is given. Find parametric equations for the line. The line perpendicular to the xz-plane that contains the point (3, -1, 6). (x(t), y(t), z(t)) =

(b) = Let , 12 and 13 be the planes that have the following equations: T.:-36x +84 y - 66z = -42 12:49x + 28y-14z = -56 Itz: 2 lx-49 y + 38.5z = 25 (i) Determine if any two of these three planes are parallel. (ii) Find the equation of the plane that containing the point P = (-1, -2, -3) an parallel to tz.

A fish tank in a doctor's office in the shape of a rectangular prism with a width that is twice its height and two-thirds its length has a volume of 94,000 cm. Determine the surface area of the fish tank, which is open at the top. SA = 0 cm Round answer to the nearest whole number. Round intermediary steps to 2 decimal places.

8:16 1 LTE O > Performance Matters (JS Question 4 of 20 Submit Test Geometry Hono... Using the water tower below, select all the shapes that could be used to model it. BOURBON O Pyramid 0 Hemisphere Cone O Prism 0 Cube 0 Cylinder < Previous Pause Test Next > ola2.performancematters.com - Private

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