4 (a) A box contains 50 cuboids. Each cuboid has a mass of 135 g. The total mass of the cuboids and the box is 7 kg. Calculate the mass of the box. Give your answer in grams. ............................................... g [2] (b) A solid cube of side 4 cm is fixed to the base inside an empty cube of side 6 cm. W ater is poured into the larger cube until it reaches the top of the smaller cube. Calculate the amount of water poured into the lar ger cube. .......................................... cm3 [2] (c) 4 cm NOT TO SCALE 20 cm The diagram shows a solid triangular prism of length 20 cm. The cross-section is an equilateral triangle with side length 4 cm. The prism is made of wood with a density of 0.85 g/cm3. Calculate the mass of the prism. [Density = mass ÷ volume] ............................................... g [4] (cid:300)(cid:217)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:252)(cid:181)(cid:254)(cid:215) © UCLES 2024 (cid:300)(cid:226)(cid:232)(cid:252)(cid:216)(cid:293)(cid:299)(cid:238)(cid:229)(cid:237)(cid:238)(cid:221)(cid:240)(cid:219)(cid:243)(cid:297)(cid:273)(cid:258) 0580/43/O/N/24 (cid:293)(cid:277)(cid:229)(cid:213)(cid:181)(cid:213)(cid:229)(cid:277)(cid:197)(cid:229)(cid:277)(cid:261)(cid:197)(cid:213)(cid:229)(cid:213)(cid:277)(cid:213) M SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000007 * 7 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:8)(cid:44) (d) NOT TO SCALE 24 cm 10 cm The diagram shows a solid cone with base radius 10 cm and height 24 cm. (i) Show that the total surface area of the cone is 1131 cm2, correct to the nearest cm2. [The curved surface area of a cone with base radius r and slant height l is A = rrl .] [4] (ii) The total surface area of the cone is painted. (a) The cost to paint the cone is $1.71 . Calculate the cost to paint 1 cm2 of the cone. Give your answer in cents. ........................................ cents [1] (b) One tin of paint has enough paint to cover 2.5 m2. Calculate the number of these cones that can be painted completely using one tin of paint. ................................................. [2] (cid:300)(cid:219)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:250)(cid:181)(cid:254)(cid:215) [Turn over © UCLES 2024 (cid:300)(cid:226)(cid:231)(cid:251)(cid:208)(cid:291)(cid:295)(cid:254)(cid:212)(cid:267)(cid:259)(cid:300)(cid:236)(cid:227)(cid:231)(cid:297)(cid:289)(cid:258) 0580/43/O/N/24 (cid:293)(cid:277)(cid:213)(cid:277)(cid:245)(cid:181)(cid:197)(cid:245)(cid:213)(cid:213)(cid:197)(cid:261)(cid:197)(cid:181)(cid:197)(cid:277)(cid:261)(cid:213) NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD * 0000800000008 * 8 (cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:44) NIGRAM