Name Secondary 3H ~ QUIZ S.2 1. period The state of Connecticut has an area of 4,845 square miles. In 2011, Connecticut had a population of 3,580,709. What was the population density of Connecticut in 2011? 35^^Q7C^ 3 ^/73 ^ 73^^gp(e/rvv^^ A designer wants to manufacture storage bins in the shape of rectangular prisms. Each bin will have a volume of 9 cubic feet. The designer wants to choose the dimensions of a bin so that the bases of the prism are squares and the bin's surface area is minimized. What dimensions should the designer choose for the bins? Show all work. <4 S-V - X if ••50 The table shows the mass and volume of different metals. Find the density of each. 1555 ^0 Xim^ a) Aluminum b) Cesium c) Gold d) Lead 3 0 5 , 8 - ' /OC iifa:^":-x5 331 " H/3 Substance Aluminum Cesium Gold Lead Mass (g) 135 308.8 482.5 339 Volume (cm^) 50 160 25 30 A florist recommends that you should grow 4 Flower A plants per square foot, and 9 Flower B plants per square foot. If you want to grow 50 plants each^of Flower A and Flower B, how many more square feet of garden space do you need for the Flower A plants than for the Flower B plants? 5^pjutr<L C€ef .V ^\)OLdr 1 ^^0^ m ii\-e(^k-€^ ^' Name: Period: Secondary 3 Honors Quiz 8.3 1. The areas of two similar rhombuses are 48 perimeters? and 128 rn^. What is the ratio of their ^M^^^ ITS / Q< ' T The scale factor of two similar polygons is given. Find the ratio of their perimeters and the ratio of their areas. 2. 2:5 ^sXtlo rrc^o 3- \ of- ^xrms ' H' ^ o>-^ p^nw^^-5> T^ /xr^S ^ aH_ 4. jVind the values of x and y when the smaller triangle has an area of 12 cm^. 3 -HSc^ 8 CITli ¥ 12 cm ^-^3^ ^ " period date Name Sec. 3H~ QUIZ 8.4 and 8.5 1. Meteorites (mostly dust-particle size) are continually bombarding Earth. The surface area of Earth is about 65.7 million mi^. The area of the United States is about 3.7 million mi^. What is the probability that a meteorite landing on Earth will land in the United States? 3.-7 „ 3 OR 5.05%, 2^Find the probability that a coordinate x of a point chosen at random on AK satisfies the inequality: 5 < 11 - 6x O \ m\ i or lO 3. Assume that a dart you throw will land on the 12 in.-by-12 in. square dartboard and is equally likely to land at any point on the board. The diameter of the center circle is 2 in., and the width of each ring is 1 in. What is the probability of hitting just the outer ring? Zjr Mi or c oAW 4. For the polyhedron, use Euler's Formula to find the missing number: edges = 15, vertices - 9, faces = ¥s i~7 5. A cube has a net with area 216 iv}. How long is an edge of the cube? Name: mc Period: (^) Secondary 3 Honors Quiz 8.6 The volumes of two^imilar containers are 115 in^ and 67 in^. The surface area of the smaller container is 108 in*: What is the surface area of the larger container? S.Ae ^^r. ^ ^ _ S-^ 5 ^ 'C7 Two similar prisms have heights 4 cm and 10 cm. a. What is their scale factor b. What is the ratio of the surface areas? c. What is the ratio of their volumes? The volume of a spherical balloon with radius 3.1 cm is about 125 cm\e the volume of a similar balloon w i t h raid su 6.2 cm. \ i ' •") ( .- 1^5 g' ' v \ - /OOO &VW The volumes of two similar pyramids are 1331 cm^ and 2744 cm^. ^ a. 1 ii>».*..i.;u.v, -so s<-.~.^ r^i *"4€ ^;«:ior Rind the ratio of their heights. b. Find the ratio of their surface areas. \7A ' /I. 7 -J Name: Period: 5. 6. Square pyramids A and B are similar. In pyramid A, each base edge is 12 cm. In pyramid B, each base edge is 3 cm, and the volume is 6 cm^. ZL / a. Find the volume of pyramid A. b. Find the ratio of the surface area of A to the surface are of ff^ , A clown's face on a balloon is 4 in. tall when the balloon holds 108 in^ of air. How much air must the balloon hold for the face to be 8 inches tall? I 5 1 ' V \ , ^